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Finding the Fourth Proportional to 83,156, 114,757.80 and 45,432.72

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Solution

The fourth proportional to 83,156, 114,757.80 and 45,432.72 is: 62,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156 : 114,757.80 = 45,432.72 : x
  2. Step 2: Convert to fraction form
    83,156/114,757.80 = 45,432.72/x
  3. Step 3: Cross multiply
    83,156x = 114,757.80 × 45,432.72
  4. Step 4: Simplify right side
    83,156x = 5,213,758,995.22
  5. Step 5: Solve for x
    x = 5,213,758,995.22/83,156
  6. Step 6: Final answer
    x = 62,698.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.