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Finding the Fourth Proportional to 227,810.40, 342,007.20 and 121,279.20

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Solution

The fourth proportional to 227,810.40, 342,007.20 and 121,279.20 is: 182,074.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,810.40 : 342,007.20 = 121,279.20 : x
  2. Step 2: Convert to fraction form
    227,810.40/342,007.20 = 121,279.20/x
  3. Step 3: Cross multiply
    227,810.40x = 342,007.20 × 121,279.20
  4. Step 4: Simplify right side
    227,810.40x = 41,478,359,610.24
  5. Step 5: Solve for x
    x = 41,478,359,610.24/227,810.40
  6. Step 6: Final answer
    x = 182,074.04

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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.