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Finding the Fourth Proportional to 76,168.80, 114,177.87 and 36,117.33

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Solution

The fourth proportional to 76,168.80, 114,177.87 and 36,117.33 is: 54,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,168.80 : 114,177.87 = 36,117.33 : x
  2. Step 2: Convert to fraction form
    76,168.80/114,177.87 = 36,117.33/x
  3. Step 3: Cross multiply
    76,168.80x = 114,177.87 × 36,117.33
  4. Step 4: Simplify right side
    76,168.80x = 4,123,799,809.49
  5. Step 5: Solve for x
    x = 4,123,799,809.49/76,168.80
  6. Step 6: Final answer
    x = 54,140.28

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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.