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Finding the Fourth Proportional to 83,857.20, 125,931.60 and 44,491.20

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Solution

The fourth proportional to 83,857.20, 125,931.60 and 44,491.20 is: 66,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857.20 : 125,931.60 = 44,491.20 : x
  2. Step 2: Convert to fraction form
    83,857.20/125,931.60 = 44,491.20/x
  3. Step 3: Cross multiply
    83,857.20x = 125,931.60 × 44,491.20
  4. Step 4: Simplify right side
    83,857.20x = 5,602,848,001.92
  5. Step 5: Solve for x
    x = 5,602,848,001.92/83,857.20
  6. Step 6: Final answer
    x = 66,814.16

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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.