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Finding the Fourth Proportional to 84,738.60, 127,140.30 and 83,410.20

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Solution

The fourth proportional to 84,738.60, 127,140.30 and 83,410.20 is: 125,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738.60 : 127,140.30 = 83,410.20 : x
  2. Step 2: Convert to fraction form
    84,738.60/127,140.30 = 83,410.20/x
  3. Step 3: Cross multiply
    84,738.60x = 127,140.30 × 83,410.20
  4. Step 4: Simplify right side
    84,738.60x = 10,604,797,851.06
  5. Step 5: Solve for x
    x = 10,604,797,851.06/84,738.60
  6. Step 6: Final answer
    x = 125,147.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.