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Finding the Fourth Proportional to 137,411.70, 206,117.55 and 113,792.10

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Solution

The fourth proportional to 137,411.70, 206,117.55 and 113,792.10 is: 170,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,411.70 : 206,117.55 = 113,792.10 : x
  2. Step 2: Convert to fraction form
    137,411.70/206,117.55 = 113,792.10/x
  3. Step 3: Cross multiply
    137,411.70x = 206,117.55 × 113,792.10
  4. Step 4: Simplify right side
    137,411.70x = 23,454,548,861.36
  5. Step 5: Solve for x
    x = 23,454,548,861.36/137,411.70
  6. Step 6: Final answer
    x = 170,688.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.