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Finding the Fourth Proportional to 83,087.70, 114,662.16 and 47,277.90

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Solution

The fourth proportional to 83,087.70, 114,662.16 and 47,277.90 is: 65,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,087.70 : 114,662.16 = 47,277.90 : x
  2. Step 2: Convert to fraction form
    83,087.70/114,662.16 = 47,277.90/x
  3. Step 3: Cross multiply
    83,087.70x = 114,662.16 × 47,277.90
  4. Step 4: Simplify right side
    83,087.70x = 5,420,986,134.26
  5. Step 5: Solve for x
    x = 5,420,986,134.26/83,087.70
  6. Step 6: Final answer
    x = 65,244.15

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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.