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Finding the Fourth Proportional to 100,870.20, 151,305.30 and 65,440.80

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Solution

The fourth proportional to 100,870.20, 151,305.30 and 65,440.80 is: 98,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,870.20 : 151,305.30 = 65,440.80 : x
  2. Step 2: Convert to fraction form
    100,870.20/151,305.30 = 65,440.80/x
  3. Step 3: Cross multiply
    100,870.20x = 151,305.30 × 65,440.80
  4. Step 4: Simplify right side
    100,870.20x = 9,901,539,876.24
  5. Step 5: Solve for x
    x = 9,901,539,876.24/100,870.20
  6. Step 6: Final answer
    x = 98,161.20

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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.