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Finding the Fourth Proportional to 96,865.80, 145,320.30 and 75,870.60

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Solution

The fourth proportional to 96,865.80, 145,320.30 and 75,870.60 is: 113,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,865.80 : 145,320.30 = 75,870.60 : x
  2. Step 2: Convert to fraction form
    96,865.80/145,320.30 = 75,870.60/x
  3. Step 3: Cross multiply
    96,865.80x = 145,320.30 × 75,870.60
  4. Step 4: Simplify right side
    96,865.80x = 11,025,538,353.18
  5. Step 5: Solve for x
    x = 11,025,538,353.18/96,865.80
  6. Step 6: Final answer
    x = 113,822.82

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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.