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Finding the Fourth Proportional to 100,830.10, 151,245.15 and 65,809.30

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Solution

The fourth proportional to 100,830.10, 151,245.15 and 65,809.30 is: 98,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.10 : 151,245.15 = 65,809.30 : x
  2. Step 2: Convert to fraction form
    100,830.10/151,245.15 = 65,809.30/x
  3. Step 3: Cross multiply
    100,830.10x = 151,245.15 × 65,809.30
  4. Step 4: Simplify right side
    100,830.10x = 9,953,337,449.90
  5. Step 5: Solve for x
    x = 9,953,337,449.90/100,830.10
  6. Step 6: Final answer
    x = 98,713.95

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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.