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Finding the Fourth Proportional to 127,170, 175,494.60 and 70,581.78

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Solution

The fourth proportional to 127,170, 175,494.60 and 70,581.78 is: 97,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,170 : 175,494.60 = 70,581.78 : x
  2. Step 2: Convert to fraction form
    127,170/175,494.60 = 70,581.78/x
  3. Step 3: Cross multiply
    127,170x = 175,494.60 × 70,581.78
  4. Step 4: Simplify right side
    127,170x = 12,386,721,248.39
  5. Step 5: Solve for x
    x = 12,386,721,248.39/127,170
  6. Step 6: Final answer
    x = 97,402.86

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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.