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Finding the Fourth Proportional to 129,325.98, 178,462.26 and 71,963.40

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Solution

The fourth proportional to 129,325.98, 178,462.26 and 71,963.40 is: 99,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,325.98 : 178,462.26 = 71,963.40 : x
  2. Step 2: Convert to fraction form
    129,325.98/178,462.26 = 71,963.40/x
  3. Step 3: Cross multiply
    129,325.98x = 178,462.26 × 71,963.40
  4. Step 4: Simplify right side
    129,325.98x = 12,842,751,001.28
  5. Step 5: Solve for x
    x = 12,842,751,001.28/129,325.98
  6. Step 6: Final answer
    x = 99,305.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.