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Finding the Fourth Proportional to 138,411.84, 207,505.22 and 58,398.17

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Solution

The fourth proportional to 138,411.84, 207,505.22 and 58,398.17 is: 87,549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.84 : 207,505.22 = 58,398.17 : x
  2. Step 2: Convert to fraction form
    138,411.84/207,505.22 = 58,398.17/x
  3. Step 3: Cross multiply
    138,411.84x = 207,505.22 × 58,398.17
  4. Step 4: Simplify right side
    138,411.84x = 12,117,923,948.18
  5. Step 5: Solve for x
    x = 12,117,923,948.18/138,411.84
  6. Step 6: Final answer
    x = 87,549.77

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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.