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Finding the Fourth Proportional to 61,831.86, 85,234.92 and 48,379.74

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Solution

The fourth proportional to 61,831.86, 85,234.92 and 48,379.74 is: 66,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,831.86 : 85,234.92 = 48,379.74 : x
  2. Step 2: Convert to fraction form
    61,831.86/85,234.92 = 48,379.74/x
  3. Step 3: Cross multiply
    61,831.86x = 85,234.92 × 48,379.74
  4. Step 4: Simplify right side
    61,831.86x = 4,123,643,268.52
  5. Step 5: Solve for x
    x = 4,123,643,268.52/61,831.86
  6. Step 6: Final answer
    x = 66,691.24

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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.