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Finding the Fourth Proportional to 100,708.35, 151,062.53 and 47,957.91

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Solution

The fourth proportional to 100,708.35, 151,062.53 and 47,957.91 is: 71,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.35 : 151,062.53 = 47,957.91 : x
  2. Step 2: Convert to fraction form
    100,708.35/151,062.53 = 47,957.91/x
  3. Step 3: Cross multiply
    100,708.35x = 151,062.53 × 47,957.91
  4. Step 4: Simplify right side
    100,708.35x = 7,244,642,978.32
  5. Step 5: Solve for x
    x = 7,244,642,978.32/100,708.35
  6. Step 6: Final answer
    x = 71,936.87

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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.