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Finding the Fourth Proportional to 243,405.29, 365,138.71 and 83,437.88

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Solution

The fourth proportional to 243,405.29, 365,138.71 and 83,437.88 is: 125,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,405.29 : 365,138.71 = 83,437.88 : x
  2. Step 2: Convert to fraction form
    243,405.29/365,138.71 = 83,437.88/x
  3. Step 3: Cross multiply
    243,405.29x = 365,138.71 × 83,437.88
  4. Step 4: Simplify right side
    243,405.29x = 30,466,397,834.05
  5. Step 5: Solve for x
    x = 30,466,397,834.05/243,405.29
  6. Step 6: Final answer
    x = 125,167.36

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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.