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Finding the Fourth Proportional to 78,589.47, 108,394.98 and 49,884.20

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Solution

The fourth proportional to 78,589.47, 108,394.98 and 49,884.20 is: 68,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.47 : 108,394.98 = 49,884.20 : x
  2. Step 2: Convert to fraction form
    78,589.47/108,394.98 = 49,884.20/x
  3. Step 3: Cross multiply
    78,589.47x = 108,394.98 × 49,884.20
  4. Step 4: Simplify right side
    78,589.47x = 5,407,196,319.34
  5. Step 5: Solve for x
    x = 5,407,196,319.34/78,589.47
  6. Step 6: Final answer
    x = 68,803.06

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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.