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Finding the Fourth Proportional to 208,792.38, 288,139.07 and 113,299.16

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Solution

The fourth proportional to 208,792.38, 288,139.07 and 113,299.16 is: 156,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792.38 : 288,139.07 = 113,299.16 : x
  2. Step 2: Convert to fraction form
    208,792.38/288,139.07 = 113,299.16/x
  3. Step 3: Cross multiply
    208,792.38x = 288,139.07 × 113,299.16
  4. Step 4: Simplify right side
    208,792.38x = 32,645,913,436.73
  5. Step 5: Solve for x
    x = 32,645,913,436.73/208,792.38
  6. Step 6: Final answer
    x = 156,355.86

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1.5x scale

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.