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Finding the Fourth Proportional to 83,140.72, 114,733.74 and 45,414.70

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Solution

The fourth proportional to 83,140.72, 114,733.74 and 45,414.70 is: 62,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140.72 : 114,733.74 = 45,414.70 : x
  2. Step 2: Convert to fraction form
    83,140.72/114,733.74 = 45,414.70/x
  3. Step 3: Cross multiply
    83,140.72x = 114,733.74 × 45,414.70
  4. Step 4: Simplify right side
    83,140.72x = 5,210,598,381.98
  5. Step 5: Solve for x
    x = 5,210,598,381.98/83,140.72
  6. Step 6: Final answer
    x = 62,672.04

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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.