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Finding the Fourth Proportional to 99,292.80, 148,766.40 and 64,214.40

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Solution

The fourth proportional to 99,292.80, 148,766.40 and 64,214.40 is: 96,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292.80 : 148,766.40 = 64,214.40 : x
  2. Step 2: Convert to fraction form
    99,292.80/148,766.40 = 64,214.40/x
  3. Step 3: Cross multiply
    99,292.80x = 148,766.40 × 64,214.40
  4. Step 4: Simplify right side
    99,292.80x = 9,552,945,116.16
  5. Step 5: Solve for x
    x = 9,552,945,116.16/99,292.80
  6. Step 6: Final answer
    x = 96,209.85

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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.