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Finding the Fourth Proportional to 102,102.16, 153,160.56 and 27,221.92

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Solution

The fourth proportional to 102,102.16, 153,160.56 and 27,221.92 is: 40,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,102.16 : 153,160.56 = 27,221.92 : x
  2. Step 2: Convert to fraction form
    102,102.16/153,160.56 = 27,221.92/x
  3. Step 3: Cross multiply
    102,102.16x = 153,160.56 × 27,221.92
  4. Step 4: Simplify right side
    102,102.16x = 4,169,324,511.48
  5. Step 5: Solve for x
    x = 4,169,324,511.48/102,102.16
  6. Step 6: Final answer
    x = 40,834.83

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1.5x scale

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.