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Finding the Fourth Proportional to 100,867.70, 151,301.55 and 85,121.30

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Solution

The fourth proportional to 100,867.70, 151,301.55 and 85,121.30 is: 127,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.70 : 151,301.55 = 85,121.30 : x
  2. Step 2: Convert to fraction form
    100,867.70/151,301.55 = 85,121.30/x
  3. Step 3: Cross multiply
    100,867.70x = 151,301.55 × 85,121.30
  4. Step 4: Simplify right side
    100,867.70x = 12,878,984,628.02
  5. Step 5: Solve for x
    x = 12,878,984,628.02/100,867.70
  6. Step 6: Final answer
    x = 127,681.95

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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.