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Finding the Fourth Proportional to 82,987.82, 114,522.65 and 47,177.84

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Solution

The fourth proportional to 82,987.82, 114,522.65 and 47,177.84 is: 65,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987.82 : 114,522.65 = 47,177.84 : x
  2. Step 2: Convert to fraction form
    82,987.82/114,522.65 = 47,177.84/x
  3. Step 3: Cross multiply
    82,987.82x = 114,522.65 × 47,177.84
  4. Step 4: Simplify right side
    82,987.82x = 5,402,930,449.57
  5. Step 5: Solve for x
    x = 5,402,930,449.57/82,987.82
  6. Step 6: Final answer
    x = 65,105.11

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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.