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Finding the Fourth Proportional to 129,018.97, 178,040.12 and 71,662.01

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Solution

The fourth proportional to 129,018.97, 178,040.12 and 71,662.01 is: 98,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,018.97 : 178,040.12 = 71,662.01 : x
  2. Step 2: Convert to fraction form
    129,018.97/178,040.12 = 71,662.01/x
  3. Step 3: Cross multiply
    129,018.97x = 178,040.12 × 71,662.01
  4. Step 4: Simplify right side
    129,018.97x = 12,758,711,611.33
  5. Step 5: Solve for x
    x = 12,758,711,611.33/129,018.97
  6. Step 6: Final answer
    x = 98,890.20

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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.