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Finding the Fourth Proportional to 145,877.20, 218,815.80 and 82,891.60

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Solution

The fourth proportional to 145,877.20, 218,815.80 and 82,891.60 is: 124,337.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877.20 : 218,815.80 = 82,891.60 : x
  2. Step 2: Convert to fraction form
    145,877.20/218,815.80 = 82,891.60/x
  3. Step 3: Cross multiply
    145,877.20x = 218,815.80 × 82,891.60
  4. Step 4: Simplify right side
    145,877.20x = 18,137,991,767.28
  5. Step 5: Solve for x
    x = 18,137,991,767.28/145,877.20
  6. Step 6: Final answer
    x = 124,337.40

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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.