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Finding the Fourth Proportional to 75,129.90, 103,672.14 and 44,909.16

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Solution

The fourth proportional to 75,129.90, 103,672.14 and 44,909.16 is: 61,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129.90 : 103,672.14 = 44,909.16 : x
  2. Step 2: Convert to fraction form
    75,129.90/103,672.14 = 44,909.16/x
  3. Step 3: Cross multiply
    75,129.90x = 103,672.14 × 44,909.16
  4. Step 4: Simplify right side
    75,129.90x = 4,655,828,722.80
  5. Step 5: Solve for x
    x = 4,655,828,722.80/75,129.90
  6. Step 6: Final answer
    x = 61,970.38

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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.