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Finding the Fourth Proportional to 100,815.30, 151,222.95 and 65,385.90

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Solution

The fourth proportional to 100,815.30, 151,222.95 and 65,385.90 is: 98,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,815.30 : 151,222.95 = 65,385.90 : x
  2. Step 2: Convert to fraction form
    100,815.30/151,222.95 = 65,385.90/x
  3. Step 3: Cross multiply
    100,815.30x = 151,222.95 × 65,385.90
  4. Step 4: Simplify right side
    100,815.30x = 9,887,848,686.41
  5. Step 5: Solve for x
    x = 9,887,848,686.41/100,815.30
  6. Step 6: Final answer
    x = 98,078.85

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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.