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Finding the Fourth Proportional to 102,458, 141,396.36 and 57,746

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Solution

The fourth proportional to 102,458, 141,396.36 and 57,746 is: 79,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458 : 141,396.36 = 57,746 : x
  2. Step 2: Convert to fraction form
    102,458/141,396.36 = 57,746/x
  3. Step 3: Cross multiply
    102,458x = 141,396.36 × 57,746
  4. Step 4: Simplify right side
    102,458x = 8,165,074,204.56
  5. Step 5: Solve for x
    x = 8,165,074,204.56/102,458
  6. Step 6: Final answer
    x = 79,691.91

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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.