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Finding the Fourth Proportional to 138,411.30, 207,639.31 and 58,461.29

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Solution

The fourth proportional to 138,411.30, 207,639.31 and 58,461.29 is: 87,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.30 : 207,639.31 = 58,461.29 : x
  2. Step 2: Convert to fraction form
    138,411.30/207,639.31 = 58,461.29/x
  3. Step 3: Cross multiply
    138,411.30x = 207,639.31 × 58,461.29
  4. Step 4: Simplify right side
    138,411.30x = 12,138,861,840.45
  5. Step 5: Solve for x
    x = 12,138,861,840.45/138,411.30
  6. Step 6: Final answer
    x = 87,701.38

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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.