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Finding the Fourth Proportional to 115,734, 159,713.88 and 62,742

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Solution

The fourth proportional to 115,734, 159,713.88 and 62,742 is: 86,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,734 : 159,713.88 = 62,742 : x
  2. Step 2: Convert to fraction form
    115,734/159,713.88 = 62,742/x
  3. Step 3: Cross multiply
    115,734x = 159,713.88 × 62,742
  4. Step 4: Simplify right side
    115,734x = 10,020,768,258.96
  5. Step 5: Solve for x
    x = 10,020,768,258.96/115,734
  6. Step 6: Final answer
    x = 86,584.48

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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.