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Finding the Fourth Proportional to 84,286.78, 116,319.14 and 48,476.78

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Solution

The fourth proportional to 84,286.78, 116,319.14 and 48,476.78 is: 66,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,286.78 : 116,319.14 = 48,476.78 : x
  2. Step 2: Convert to fraction form
    84,286.78/116,319.14 = 48,476.78/x
  3. Step 3: Cross multiply
    84,286.78x = 116,319.14 × 48,476.78
  4. Step 4: Simplify right side
    84,286.78x = 5,638,777,359.57
  5. Step 5: Solve for x
    x = 5,638,777,359.57/84,286.78
  6. Step 6: Final answer
    x = 66,899.90

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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.