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Finding the Fourth Proportional to 261,510, 392,475.18 and 135,187.38

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Solution

The fourth proportional to 261,510, 392,475.18 and 135,187.38 is: 202,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,510 : 392,475.18 = 135,187.38 : x
  2. Step 2: Convert to fraction form
    261,510/392,475.18 = 135,187.38/x
  3. Step 3: Cross multiply
    261,510x = 392,475.18 × 135,187.38
  4. Step 4: Simplify right side
    261,510x = 53,057,691,299.23
  5. Step 5: Solve for x
    x = 53,057,691,299.23/261,510
  6. Step 6: Final answer
    x = 202,889.72

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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.