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Finding the Fourth Proportional to 76,381.80, 114,572.70 and 66,540.30

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Solution

The fourth proportional to 76,381.80, 114,572.70 and 66,540.30 is: 99,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381.80 : 114,572.70 = 66,540.30 : x
  2. Step 2: Convert to fraction form
    76,381.80/114,572.70 = 66,540.30/x
  3. Step 3: Cross multiply
    76,381.80x = 114,572.70 × 66,540.30
  4. Step 4: Simplify right side
    76,381.80x = 7,623,701,829.81
  5. Step 5: Solve for x
    x = 7,623,701,829.81/76,381.80
  6. Step 6: Final answer
    x = 99,810.45

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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.