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Finding the Fourth Proportional to 85,400.16, 117,857.68 and 47,674.40

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Solution

The fourth proportional to 85,400.16, 117,857.68 and 47,674.40 is: 65,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,400.16 : 117,857.68 = 47,674.40 : x
  2. Step 2: Convert to fraction form
    85,400.16/117,857.68 = 47,674.40/x
  3. Step 3: Cross multiply
    85,400.16x = 117,857.68 × 47,674.40
  4. Step 4: Simplify right side
    85,400.16x = 5,618,794,179.39
  5. Step 5: Solve for x
    x = 5,618,794,179.39/85,400.16
  6. Step 6: Final answer
    x = 65,793.72

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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.