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Finding the Fourth Proportional to 82,002.40, 123,032.40 and 35,269.60

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Solution

The fourth proportional to 82,002.40, 123,032.40 and 35,269.60 is: 52,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.40 : 123,032.40 = 35,269.60 : x
  2. Step 2: Convert to fraction form
    82,002.40/123,032.40 = 35,269.60/x
  3. Step 3: Cross multiply
    82,002.40x = 123,032.40 × 35,269.60
  4. Step 4: Simplify right side
    82,002.40x = 4,339,303,535.04
  5. Step 5: Solve for x
    x = 4,339,303,535.04/82,002.40
  6. Step 6: Final answer
    x = 52,916.79

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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.