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Finding the Fourth Proportional to 48,369.83, 72,582.76 and 20,287.38

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Solution

The fourth proportional to 48,369.83, 72,582.76 and 20,287.38 is: 30,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,369.83 : 72,582.76 = 20,287.38 : x
  2. Step 2: Convert to fraction form
    48,369.83/72,582.76 = 20,287.38/x
  3. Step 3: Cross multiply
    48,369.83x = 72,582.76 × 20,287.38
  4. Step 4: Simplify right side
    48,369.83x = 1,472,514,033.57
  5. Step 5: Solve for x
    x = 1,472,514,033.57/48,369.83
  6. Step 6: Final answer
    x = 30,442.82

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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.