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Finding the Fourth Proportional to 105,487.20, 158,230.80 and 98,575.20

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Solution

The fourth proportional to 105,487.20, 158,230.80 and 98,575.20 is: 147,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,487.20 : 158,230.80 = 98,575.20 : x
  2. Step 2: Convert to fraction form
    105,487.20/158,230.80 = 98,575.20/x
  3. Step 3: Cross multiply
    105,487.20x = 158,230.80 × 98,575.20
  4. Step 4: Simplify right side
    105,487.20x = 15,597,632,756.16
  5. Step 5: Solve for x
    x = 15,597,632,756.16/105,487.20
  6. Step 6: Final answer
    x = 147,862.80

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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.