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Finding the Fourth Proportional to 261,488.65, 392,443.16 and 135,165.94

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Solution

The fourth proportional to 261,488.65, 392,443.16 and 135,165.94 is: 202,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,488.65 : 392,443.16 = 135,165.94 : x
  2. Step 2: Convert to fraction form
    261,488.65/392,443.16 = 135,165.94/x
  3. Step 3: Cross multiply
    261,488.65x = 392,443.16 × 135,165.94
  4. Step 4: Simplify right side
    261,488.65x = 53,044,948,617.97
  5. Step 5: Solve for x
    x = 53,044,948,617.97/261,488.65
  6. Step 6: Final answer
    x = 202,857.56

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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.