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Finding the Fourth Proportional to 208,590,687.04, 287,869,697.44 and 137,903,484.38

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Solution

The fourth proportional to 208,590,687.04, 287,869,697.44 and 137,903,484.38 is: 190,316,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590,687.04 : 287,869,697.44 = 137,903,484.38 : x
  2. Step 2: Convert to fraction form
    208,590,687.04/287,869,697.44 = 137,903,484.38/x
  3. Step 3: Cross multiply
    208,590,687.04x = 287,869,697.44 × 137,903,484.38
  4. Step 4: Simplify right side
    208,590,687.04x = 39,698,234,324,392,368
  5. Step 5: Solve for x
    x = 39,698,234,324,392,368/208,590,687.04
  6. Step 6: Final answer
    x = 190,316,427.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.