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Finding the Fourth Proportional to 100,689.60, 151,029.60 and 34,123.20

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Solution

The fourth proportional to 100,689.60, 151,029.60 and 34,123.20 is: 51,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.60 : 151,029.60 = 34,123.20 : x
  2. Step 2: Convert to fraction form
    100,689.60/151,029.60 = 34,123.20/x
  3. Step 3: Cross multiply
    100,689.60x = 151,029.60 × 34,123.20
  4. Step 4: Simplify right side
    100,689.60x = 5,153,613,246.72
  5. Step 5: Solve for x
    x = 5,153,613,246.72/100,689.60
  6. Step 6: Final answer
    x = 51,183.17

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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.