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Finding the Fourth Proportional to 115,866, 159,895.08 and 62,874

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Solution

The fourth proportional to 115,866, 159,895.08 and 62,874 is: 86,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,866 : 159,895.08 = 62,874 : x
  2. Step 2: Convert to fraction form
    115,866/159,895.08 = 62,874/x
  3. Step 3: Cross multiply
    115,866x = 159,895.08 × 62,874
  4. Step 4: Simplify right side
    115,866x = 10,053,243,259.92
  5. Step 5: Solve for x
    x = 10,053,243,259.92/115,866
  6. Step 6: Final answer
    x = 86,766.12

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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.