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Finding the Fourth Proportional to 129,430.74, 178,669.54 and 87,013.88

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Solution

The fourth proportional to 129,430.74, 178,669.54 and 87,013.88 is: 120,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,430.74 : 178,669.54 = 87,013.88 : x
  2. Step 2: Convert to fraction form
    129,430.74/178,669.54 = 87,013.88/x
  3. Step 3: Cross multiply
    129,430.74x = 178,669.54 × 87,013.88
  4. Step 4: Simplify right side
    129,430.74x = 15,546,729,798.65
  5. Step 5: Solve for x
    x = 15,546,729,798.65/129,430.74
  6. Step 6: Final answer
    x = 120,116.21

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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.