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Finding the Fourth Proportional to 90,784.40, 136,229.88 and 38,189.84

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Solution

The fourth proportional to 90,784.40, 136,229.88 and 38,189.84 is: 57,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784.40 : 136,229.88 = 38,189.84 : x
  2. Step 2: Convert to fraction form
    90,784.40/136,229.88 = 38,189.84/x
  3. Step 3: Cross multiply
    90,784.40x = 136,229.88 × 38,189.84
  4. Step 4: Simplify right side
    90,784.40x = 5,202,597,320.42
  5. Step 5: Solve for x
    x = 5,202,597,320.42/90,784.40
  6. Step 6: Final answer
    x = 57,307.17

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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.