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Finding the Fourth Proportional to 129,003.86, 178,029.74 and 71,644.08

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Solution

The fourth proportional to 129,003.86, 178,029.74 and 71,644.08 is: 98,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,003.86 : 178,029.74 = 71,644.08 : x
  2. Step 2: Convert to fraction form
    129,003.86/178,029.74 = 71,644.08/x
  3. Step 3: Cross multiply
    129,003.86x = 178,029.74 × 71,644.08
  4. Step 4: Simplify right side
    129,003.86x = 12,754,776,576.72
  5. Step 5: Solve for x
    x = 12,754,776,576.72/129,003.86
  6. Step 6: Final answer
    x = 98,871.28

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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.