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Finding the Fourth Proportional to 102,438, 141,366 and 57,726

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Solution

The fourth proportional to 102,438, 141,366 and 57,726 is: 79,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 141,366 = 57,726 : x
  2. Step 2: Convert to fraction form
    102,438/141,366 = 57,726/x
  3. Step 3: Cross multiply
    102,438x = 141,366 × 57,726
  4. Step 4: Simplify right side
    102,438x = 8,160,493,716
  5. Step 5: Solve for x
    x = 8,160,493,716/102,438
  6. Step 6: Final answer
    x = 79,662.76

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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.