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Finding the Fourth Proportional to 127,752.64, 176,304 and 71,164

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Solution

The fourth proportional to 127,752.64, 176,304 and 71,164 is: 98,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,752.64 : 176,304 = 71,164 : x
  2. Step 2: Convert to fraction form
    127,752.64/176,304 = 71,164/x
  3. Step 3: Cross multiply
    127,752.64x = 176,304 × 71,164
  4. Step 4: Simplify right side
    127,752.64x = 12,546,497,856
  5. Step 5: Solve for x
    x = 12,546,497,856/127,752.64
  6. Step 6: Final answer
    x = 98,209.30

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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.