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Finding the Fourth Proportional to 82,862.80, 124,099.80 and 56,424.40

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Solution

The fourth proportional to 82,862.80, 124,099.80 and 56,424.40 is: 84,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862.80 : 124,099.80 = 56,424.40 : x
  2. Step 2: Convert to fraction form
    82,862.80/124,099.80 = 56,424.40/x
  3. Step 3: Cross multiply
    82,862.80x = 124,099.80 × 56,424.40
  4. Step 4: Simplify right side
    82,862.80x = 7,002,256,755.12
  5. Step 5: Solve for x
    x = 7,002,256,755.12/82,862.80
  6. Step 6: Final answer
    x = 84,504.23

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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.