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Finding the Fourth Proportional to 100,649.84, 151,000.68 and 38,286.32

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Solution

The fourth proportional to 100,649.84, 151,000.68 and 38,286.32 is: 57,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649.84 : 151,000.68 = 38,286.32 : x
  2. Step 2: Convert to fraction form
    100,649.84/151,000.68 = 38,286.32/x
  3. Step 3: Cross multiply
    100,649.84x = 151,000.68 × 38,286.32
  4. Step 4: Simplify right side
    100,649.84x = 5,781,260,354.70
  5. Step 5: Solve for x
    x = 5,781,260,354.70/100,649.84
  6. Step 6: Final answer
    x = 57,439.34

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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.