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Finding the Fourth Proportional to 261,478.56, 392,256.72 and 121,251.36

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Solution

The fourth proportional to 261,478.56, 392,256.72 and 121,251.36 is: 181,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,478.56 : 392,256.72 = 121,251.36 : x
  2. Step 2: Convert to fraction form
    261,478.56/392,256.72 = 121,251.36/x
  3. Step 3: Cross multiply
    261,478.56x = 392,256.72 × 121,251.36
  4. Step 4: Simplify right side
    261,478.56x = 47,561,660,769.14
  5. Step 5: Solve for x
    x = 47,561,660,769.14/261,478.56
  6. Step 6: Final answer
    x = 181,895.07

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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.