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Finding the Fourth Proportional to 100,758.79, 151,043.01 and 34,151.68

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Solution

The fourth proportional to 100,758.79, 151,043.01 and 34,151.68 is: 51,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758.79 : 151,043.01 = 34,151.68 : x
  2. Step 2: Convert to fraction form
    100,758.79/151,043.01 = 34,151.68/x
  3. Step 3: Cross multiply
    100,758.79x = 151,043.01 × 34,151.68
  4. Step 4: Simplify right side
    100,758.79x = 5,158,372,543.76
  5. Step 5: Solve for x
    x = 5,158,372,543.76/100,758.79
  6. Step 6: Final answer
    x = 51,195.26

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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.