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Finding the Fourth Proportional to 208,143, 287,237.34 and 118,719

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Solution

The fourth proportional to 208,143, 287,237.34 and 118,719 is: 163,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143 : 287,237.34 = 118,719 : x
  2. Step 2: Convert to fraction form
    208,143/287,237.34 = 118,719/x
  3. Step 3: Cross multiply
    208,143x = 287,237.34 × 118,719
  4. Step 4: Simplify right side
    208,143x = 34,100,529,767.46
  5. Step 5: Solve for x
    x = 34,100,529,767.46/208,143
  6. Step 6: Final answer
    x = 163,832.22

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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.