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Finding the Fourth Proportional to 105,417.20, 158,125.80 and 100,578.80

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Solution

The fourth proportional to 105,417.20, 158,125.80 and 100,578.80 is: 150,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.20 : 158,125.80 = 100,578.80 : x
  2. Step 2: Convert to fraction form
    105,417.20/158,125.80 = 100,578.80/x
  3. Step 3: Cross multiply
    105,417.20x = 158,125.80 × 100,578.80
  4. Step 4: Simplify right side
    105,417.20x = 15,904,103,213.04
  5. Step 5: Solve for x
    x = 15,904,103,213.04/105,417.20
  6. Step 6: Final answer
    x = 150,868.20

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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.