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Finding the Fourth Proportional to 84,959.20, 127,355.10 and 47,537.20

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Solution

The fourth proportional to 84,959.20, 127,355.10 and 47,537.20 is: 71,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,959.20 : 127,355.10 = 47,537.20 : x
  2. Step 2: Convert to fraction form
    84,959.20/127,355.10 = 47,537.20/x
  3. Step 3: Cross multiply
    84,959.20x = 127,355.10 × 47,537.20
  4. Step 4: Simplify right side
    84,959.20x = 6,054,104,859.72
  5. Step 5: Solve for x
    x = 6,054,104,859.72/84,959.20
  6. Step 6: Final answer
    x = 71,258.97

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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.