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Finding the Fourth Proportional to 100,656.75, 151,034.33 and 71,263.47

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Solution

The fourth proportional to 100,656.75, 151,034.33 and 71,263.47 is: 106,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656.75 : 151,034.33 = 71,263.47 : x
  2. Step 2: Convert to fraction form
    100,656.75/151,034.33 = 71,263.47/x
  3. Step 3: Cross multiply
    100,656.75x = 151,034.33 × 71,263.47
  4. Step 4: Simplify right side
    100,656.75x = 10,763,230,444.93
  5. Step 5: Solve for x
    x = 10,763,230,444.93/100,656.75
  6. Step 6: Final answer
    x = 106,930.04

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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.