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Finding the Fourth Proportional to 280,807.38, 421,127.87 and 81,129.56

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Solution

The fourth proportional to 280,807.38, 421,127.87 and 81,129.56 is: 121,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,807.38 : 421,127.87 = 81,129.56 : x
  2. Step 2: Convert to fraction form
    280,807.38/421,127.87 = 81,129.56/x
  3. Step 3: Cross multiply
    280,807.38x = 421,127.87 × 81,129.56
  4. Step 4: Simplify right side
    280,807.38x = 34,165,916,285.55
  5. Step 5: Solve for x
    x = 34,165,916,285.55/280,807.38
  6. Step 6: Final answer
    x = 121,670.29

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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.