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Finding the Fourth Proportional to 66,251.68, 99,423.60 and 42,820

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Solution

The fourth proportional to 66,251.68, 99,423.60 and 42,820 is: 64,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,251.68 : 99,423.60 = 42,820 : x
  2. Step 2: Convert to fraction form
    66,251.68/99,423.60 = 42,820/x
  3. Step 3: Cross multiply
    66,251.68x = 99,423.60 × 42,820
  4. Step 4: Simplify right side
    66,251.68x = 4,257,318,552.00
  5. Step 5: Solve for x
    x = 4,257,318,552.00/66,251.68
  6. Step 6: Final answer
    x = 64,259.78

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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.