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Finding the Fourth Proportional to 85,281, 117,690.21 and 47,557.68

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Solution

The fourth proportional to 85,281, 117,690.21 and 47,557.68 is: 65,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281 : 117,690.21 = 47,557.68 : x
  2. Step 2: Convert to fraction form
    85,281/117,690.21 = 47,557.68/x
  3. Step 3: Cross multiply
    85,281x = 117,690.21 × 47,557.68
  4. Step 4: Simplify right side
    85,281x = 5,597,073,346.31
  5. Step 5: Solve for x
    x = 5,597,073,346.31/85,281
  6. Step 6: Final answer
    x = 65,630.95

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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.