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Finding the Fourth Proportional to 85,377.12, 117,827.10 and 47,657.04

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Solution

The fourth proportional to 85,377.12, 117,827.10 and 47,657.04 is: 65,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,377.12 : 117,827.10 = 47,657.04 : x
  2. Step 2: Convert to fraction form
    85,377.12/117,827.10 = 47,657.04/x
  3. Step 3: Cross multiply
    85,377.12x = 117,827.10 × 47,657.04
  4. Step 4: Simplify right side
    85,377.12x = 5,615,290,817.78
  5. Step 5: Solve for x
    x = 5,615,290,817.78/85,377.12
  6. Step 6: Final answer
    x = 65,770.44

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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.