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Finding the Fourth Proportional to 82,543.60, 123,815.40 and 20,214.10

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Solution

The fourth proportional to 82,543.60, 123,815.40 and 20,214.10 is: 30,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.60 : 123,815.40 = 20,214.10 : x
  2. Step 2: Convert to fraction form
    82,543.60/123,815.40 = 20,214.10/x
  3. Step 3: Cross multiply
    82,543.60x = 123,815.40 × 20,214.10
  4. Step 4: Simplify right side
    82,543.60x = 2,502,816,877.14
  5. Step 5: Solve for x
    x = 2,502,816,877.14/82,543.60
  6. Step 6: Final answer
    x = 30,321.15

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1.5x scale

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.