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Finding the Fourth Proportional to 107,138.59, 147,841.31 and 59,387.87

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Solution

The fourth proportional to 107,138.59, 147,841.31 and 59,387.87 is: 81,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.59 : 147,841.31 = 59,387.87 : x
  2. Step 2: Convert to fraction form
    107,138.59/147,841.31 = 59,387.87/x
  3. Step 3: Cross multiply
    107,138.59x = 147,841.31 × 59,387.87
  4. Step 4: Simplify right side
    107,138.59x = 8,779,980,571.57
  5. Step 5: Solve for x
    x = 8,779,980,571.57/107,138.59
  6. Step 6: Final answer
    x = 81,949.75

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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.