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Finding the Fourth Proportional to 84,114.67, 116,078.35 and 45,874.28

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Solution

The fourth proportional to 84,114.67, 116,078.35 and 45,874.28 is: 63,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114.67 : 116,078.35 = 45,874.28 : x
  2. Step 2: Convert to fraction form
    84,114.67/116,078.35 = 45,874.28/x
  3. Step 3: Cross multiply
    84,114.67x = 116,078.35 × 45,874.28
  4. Step 4: Simplify right side
    84,114.67x = 5,325,010,729.84
  5. Step 5: Solve for x
    x = 5,325,010,729.84/84,114.67
  6. Step 6: Final answer
    x = 63,306.56

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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.