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Finding the Fourth Proportional to 261,876.78, 392,987.34 and 143,631.09

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Solution

The fourth proportional to 261,876.78, 392,987.34 and 143,631.09 is: 215,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,876.78 : 392,987.34 = 143,631.09 : x
  2. Step 2: Convert to fraction form
    261,876.78/392,987.34 = 143,631.09/x
  3. Step 3: Cross multiply
    261,876.78x = 392,987.34 × 143,631.09
  4. Step 4: Simplify right side
    261,876.78x = 56,445,200,000.40
  5. Step 5: Solve for x
    x = 56,445,200,000.40/261,876.78
  6. Step 6: Final answer
    x = 215,541.06

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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.