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Finding the Fourth Proportional to 96,310.80, 144,320.40 and 65,109.60

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Solution

The fourth proportional to 96,310.80, 144,320.40 and 65,109.60 is: 97,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,310.80 : 144,320.40 = 65,109.60 : x
  2. Step 2: Convert to fraction form
    96,310.80/144,320.40 = 65,109.60/x
  3. Step 3: Cross multiply
    96,310.80x = 144,320.40 × 65,109.60
  4. Step 4: Simplify right side
    96,310.80x = 9,396,643,515.84
  5. Step 5: Solve for x
    x = 9,396,643,515.84/96,310.80
  6. Step 6: Final answer
    x = 97,565.83

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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.