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Finding the Fourth Proportional to 85,436.64, 117,902.88 and 47,711.52

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Solution

The fourth proportional to 85,436.64, 117,902.88 and 47,711.52 is: 65,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,436.64 : 117,902.88 = 47,711.52 : x
  2. Step 2: Convert to fraction form
    85,436.64/117,902.88 = 47,711.52/x
  3. Step 3: Cross multiply
    85,436.64x = 117,902.88 × 47,711.52
  4. Step 4: Simplify right side
    85,436.64x = 5,625,325,617.18
  5. Step 5: Solve for x
    x = 5,625,325,617.18/85,436.64
  6. Step 6: Final answer
    x = 65,842.07

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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.