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Finding the Fourth Proportional to 82,513.20, 123,769.80 and 48,833.40

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Solution

The fourth proportional to 82,513.20, 123,769.80 and 48,833.40 is: 73,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,513.20 : 123,769.80 = 48,833.40 : x
  2. Step 2: Convert to fraction form
    82,513.20/123,769.80 = 48,833.40/x
  3. Step 3: Cross multiply
    82,513.20x = 123,769.80 × 48,833.40
  4. Step 4: Simplify right side
    82,513.20x = 6,044,100,151.32
  5. Step 5: Solve for x
    x = 6,044,100,151.32/82,513.20
  6. Step 6: Final answer
    x = 73,250.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.