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Finding the Fourth Proportional to 102,439, 141,367.38 and 57,727

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Solution

The fourth proportional to 102,439, 141,367.38 and 57,727 is: 79,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,439 : 141,367.38 = 57,727 : x
  2. Step 2: Convert to fraction form
    102,439/141,367.38 = 57,727/x
  3. Step 3: Cross multiply
    102,439x = 141,367.38 × 57,727
  4. Step 4: Simplify right side
    102,439x = 8,160,714,745.26
  5. Step 5: Solve for x
    x = 8,160,714,745.26/102,439
  6. Step 6: Final answer
    x = 79,664.14

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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.