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Finding the Fourth Proportional to 83,656.26, 115,446.06 and 47,847.78

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Solution

The fourth proportional to 83,656.26, 115,446.06 and 47,847.78 is: 66,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,656.26 : 115,446.06 = 47,847.78 : x
  2. Step 2: Convert to fraction form
    83,656.26/115,446.06 = 47,847.78/x
  3. Step 3: Cross multiply
    83,656.26x = 115,446.06 × 47,847.78
  4. Step 4: Simplify right side
    83,656.26x = 5,523,837,680.75
  5. Step 5: Solve for x
    x = 5,523,837,680.75/83,656.26
  6. Step 6: Final answer
    x = 66,030.18

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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.