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Finding the Fourth Proportional to 81,609.53, 122,395.14 and 39,468.77

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Solution

The fourth proportional to 81,609.53, 122,395.14 and 39,468.77 is: 59,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.53 : 122,395.14 = 39,468.77 : x
  2. Step 2: Convert to fraction form
    81,609.53/122,395.14 = 39,468.77/x
  3. Step 3: Cross multiply
    81,609.53x = 122,395.14 × 39,468.77
  4. Step 4: Simplify right side
    81,609.53x = 4,830,785,017.80
  5. Step 5: Solve for x
    x = 4,830,785,017.80/81,609.53
  6. Step 6: Final answer
    x = 59,193.89

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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.