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Finding the Fourth Proportional to 84,975.20, 127,462.80 and 71,151.20

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Solution

The fourth proportional to 84,975.20, 127,462.80 and 71,151.20 is: 106,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,975.20 : 127,462.80 = 71,151.20 : x
  2. Step 2: Convert to fraction form
    84,975.20/127,462.80 = 71,151.20/x
  3. Step 3: Cross multiply
    84,975.20x = 127,462.80 × 71,151.20
  4. Step 4: Simplify right side
    84,975.20x = 9,069,131,175.36
  5. Step 5: Solve for x
    x = 9,069,131,175.36/84,975.20
  6. Step 6: Final answer
    x = 106,726.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.