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Finding the Fourth Proportional to 67,076.48, 92,561.60 and 38,780.16

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Solution

The fourth proportional to 67,076.48, 92,561.60 and 38,780.16 is: 53,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,076.48 : 92,561.60 = 38,780.16 : x
  2. Step 2: Convert to fraction form
    67,076.48/92,561.60 = 38,780.16/x
  3. Step 3: Cross multiply
    67,076.48x = 92,561.60 × 38,780.16
  4. Step 4: Simplify right side
    67,076.48x = 3,589,553,657.86
  5. Step 5: Solve for x
    x = 3,589,553,657.86/67,076.48
  6. Step 6: Final answer
    x = 53,514.34

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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.