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Finding the Fourth Proportional to 82,368.52, 123,552.78 and 20,038.48

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Solution

The fourth proportional to 82,368.52, 123,552.78 and 20,038.48 is: 30,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,368.52 : 123,552.78 = 20,038.48 : x
  2. Step 2: Convert to fraction form
    82,368.52/123,552.78 = 20,038.48/x
  3. Step 3: Cross multiply
    82,368.52x = 123,552.78 × 20,038.48
  4. Step 4: Simplify right side
    82,368.52x = 2,475,809,910.97
  5. Step 5: Solve for x
    x = 2,475,809,910.97/82,368.52
  6. Step 6: Final answer
    x = 30,057.72

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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.