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Finding the Fourth Proportional to 105,760.68, 158,781.80 and 61,419.25

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Solution

The fourth proportional to 105,760.68, 158,781.80 and 61,419.25 is: 92,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,760.68 : 158,781.80 = 61,419.25 : x
  2. Step 2: Convert to fraction form
    105,760.68/158,781.80 = 61,419.25/x
  3. Step 3: Cross multiply
    105,760.68x = 158,781.80 × 61,419.25
  4. Step 4: Simplify right side
    105,760.68x = 9,752,259,069.65
  5. Step 5: Solve for x
    x = 9,752,259,069.65/105,760.68
  6. Step 6: Final answer
    x = 92,210.63

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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.