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Finding the Fourth Proportional to 100,868.20, 151,302.30 and 65,438.80

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Solution

The fourth proportional to 100,868.20, 151,302.30 and 65,438.80 is: 98,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,868.20 : 151,302.30 = 65,438.80 : x
  2. Step 2: Convert to fraction form
    100,868.20/151,302.30 = 65,438.80/x
  3. Step 3: Cross multiply
    100,868.20x = 151,302.30 × 65,438.80
  4. Step 4: Simplify right side
    100,868.20x = 9,901,040,949.24
  5. Step 5: Solve for x
    x = 9,901,040,949.24/100,868.20
  6. Step 6: Final answer
    x = 98,158.20

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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.