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Finding the Fourth Proportional to 49,671, 68,545.62 and 28,164.78

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Solution

The fourth proportional to 49,671, 68,545.62 and 28,164.78 is: 38,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,671 : 68,545.62 = 28,164.78 : x
  2. Step 2: Convert to fraction form
    49,671/68,545.62 = 28,164.78/x
  3. Step 3: Cross multiply
    49,671x = 68,545.62 × 28,164.78
  4. Step 4: Simplify right side
    49,671x = 1,930,572,307.26
  5. Step 5: Solve for x
    x = 1,930,572,307.26/49,671
  6. Step 6: Final answer
    x = 38,867.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.