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Finding the Fourth Proportional to 171,564.56, 257,062.30 and 121,396

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Solution

The fourth proportional to 171,564.56, 257,062.30 and 121,396 is: 181,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,564.56 : 257,062.30 = 121,396 : x
  2. Step 2: Convert to fraction form
    171,564.56/257,062.30 = 121,396/x
  3. Step 3: Cross multiply
    171,564.56x = 257,062.30 × 121,396
  4. Step 4: Simplify right side
    171,564.56x = 31,206,334,970.80
  5. Step 5: Solve for x
    x = 31,206,334,970.80/171,564.56
  6. Step 6: Final answer
    x = 181,892.66

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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.