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Finding the Fourth Proportional to 208,641.76, 287,966.46 and 137,019.94

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Solution

The fourth proportional to 208,641.76, 287,966.46 and 137,019.94 is: 189,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,641.76 : 287,966.46 = 137,019.94 : x
  2. Step 2: Convert to fraction form
    208,641.76/287,966.46 = 137,019.94/x
  3. Step 3: Cross multiply
    208,641.76x = 287,966.46 × 137,019.94
  4. Step 4: Simplify right side
    208,641.76x = 39,457,147,071.21
  5. Step 5: Solve for x
    x = 39,457,147,071.21/208,641.76
  6. Step 6: Final answer
    x = 189,114.33

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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.