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Finding the Fourth Proportional to 83,633.84, 115,414.87 and 49,649.15

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Solution

The fourth proportional to 83,633.84, 115,414.87 and 49,649.15 is: 68,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,633.84 : 115,414.87 = 49,649.15 : x
  2. Step 2: Convert to fraction form
    83,633.84/115,414.87 = 49,649.15/x
  3. Step 3: Cross multiply
    83,633.84x = 115,414.87 × 49,649.15
  4. Step 4: Simplify right side
    83,633.84x = 5,730,249,429.60
  5. Step 5: Solve for x
    x = 5,730,249,429.60/83,633.84
  6. Step 6: Final answer
    x = 68,515.92

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1.5x scale

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.