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Finding the Fourth Proportional to 82,364.78, 123,545.72 and 20,035.82

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Solution

The fourth proportional to 82,364.78, 123,545.72 and 20,035.82 is: 30,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.78 : 123,545.72 = 20,035.82 : x
  2. Step 2: Convert to fraction form
    82,364.78/123,545.72 = 20,035.82/x
  3. Step 3: Cross multiply
    82,364.78x = 123,545.72 × 20,035.82
  4. Step 4: Simplify right side
    82,364.78x = 2,475,339,807.69
  5. Step 5: Solve for x
    x = 2,475,339,807.69/82,364.78
  6. Step 6: Final answer
    x = 30,053.38

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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.