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Finding the Fourth Proportional to 100,712.30, 151,177.80 and 63,314.60

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Solution

The fourth proportional to 100,712.30, 151,177.80 and 63,314.60 is: 95,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,712.30 : 151,177.80 = 63,314.60 : x
  2. Step 2: Convert to fraction form
    100,712.30/151,177.80 = 63,314.60/x
  3. Step 3: Cross multiply
    100,712.30x = 151,177.80 × 63,314.60
  4. Step 4: Simplify right side
    100,712.30x = 9,571,761,935.88
  5. Step 5: Solve for x
    x = 9,571,761,935.88/100,712.30
  6. Step 6: Final answer
    x = 95,040.64

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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.