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Finding the Fourth Proportional to 223,680, 308,680.56 and 123,080.16

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Solution

The fourth proportional to 223,680, 308,680.56 and 123,080.16 is: 169,851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,680 : 308,680.56 = 123,080.16 : x
  2. Step 2: Convert to fraction form
    223,680/308,680.56 = 123,080.16/x
  3. Step 3: Cross multiply
    223,680x = 308,680.56 × 123,080.16
  4. Step 4: Simplify right side
    223,680x = 37,992,452,713.69
  5. Step 5: Solve for x
    x = 37,992,452,713.69/223,680
  6. Step 6: Final answer
    x = 169,851.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.