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Finding the Fourth Proportional to 84,874.29, 117,140.95 and 49,086.06

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Solution

The fourth proportional to 84,874.29, 117,140.95 and 49,086.06 is: 67,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,874.29 : 117,140.95 = 49,086.06 : x
  2. Step 2: Convert to fraction form
    84,874.29/117,140.95 = 49,086.06/x
  3. Step 3: Cross multiply
    84,874.29x = 117,140.95 × 49,086.06
  4. Step 4: Simplify right side
    84,874.29x = 5,749,987,700.16
  5. Step 5: Solve for x
    x = 5,749,987,700.16/84,874.29
  6. Step 6: Final answer
    x = 67,747.11

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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.