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Finding the Fourth Proportional to 100,549.20, 150,823.80 and 74,305.20

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Solution

The fourth proportional to 100,549.20, 150,823.80 and 74,305.20 is: 111,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,549.20 : 150,823.80 = 74,305.20 : x
  2. Step 2: Convert to fraction form
    100,549.20/150,823.80 = 74,305.20/x
  3. Step 3: Cross multiply
    100,549.20x = 150,823.80 × 74,305.20
  4. Step 4: Simplify right side
    100,549.20x = 11,206,992,623.76
  5. Step 5: Solve for x
    x = 11,206,992,623.76/100,549.20
  6. Step 6: Final answer
    x = 111,457.80

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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.