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Finding the Fourth Proportional to 82,041.60, 123,062.40 and 19,712.10

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Solution

The fourth proportional to 82,041.60, 123,062.40 and 19,712.10 is: 29,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.60 : 123,062.40 = 19,712.10 : x
  2. Step 2: Convert to fraction form
    82,041.60/123,062.40 = 19,712.10/x
  3. Step 3: Cross multiply
    82,041.60x = 123,062.40 × 19,712.10
  4. Step 4: Simplify right side
    82,041.60x = 2,425,818,335.04
  5. Step 5: Solve for x
    x = 2,425,818,335.04/82,041.60
  6. Step 6: Final answer
    x = 29,568.15

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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.