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Finding the Fourth Proportional to 48,488, 72,732.12 and 15,656

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Solution

The fourth proportional to 48,488, 72,732.12 and 15,656 is: 23,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488 : 72,732.12 = 15,656 : x
  2. Step 2: Convert to fraction form
    48,488/72,732.12 = 15,656/x
  3. Step 3: Cross multiply
    48,488x = 72,732.12 × 15,656
  4. Step 4: Simplify right side
    48,488x = 1,138,694,070.72
  5. Step 5: Solve for x
    x = 1,138,694,070.72/48,488
  6. Step 6: Final answer
    x = 23,484.04

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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.