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Finding the Fourth Proportional to 261,888.81, 392,058.18 and 161,727

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Solution

The fourth proportional to 261,888.81, 392,058.18 and 161,727 is: 242,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,888.81 : 392,058.18 = 161,727 : x
  2. Step 2: Convert to fraction form
    261,888.81/392,058.18 = 161,727/x
  3. Step 3: Cross multiply
    261,888.81x = 392,058.18 × 161,727
  4. Step 4: Simplify right side
    261,888.81x = 63,406,393,276.86
  5. Step 5: Solve for x
    x = 63,406,393,276.86/261,888.81
  6. Step 6: Final answer
    x = 242,111.88

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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.