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Finding the Fourth Proportional to 261,890.31, 392,060.43 and 161,728.50

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Solution

The fourth proportional to 261,890.31, 392,060.43 and 161,728.50 is: 242,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,890.31 : 392,060.43 = 161,728.50 : x
  2. Step 2: Convert to fraction form
    261,890.31/392,060.43 = 161,728.50/x
  3. Step 3: Cross multiply
    261,890.31x = 392,060.43 × 161,728.50
  4. Step 4: Simplify right side
    261,890.31x = 63,407,345,253.26
  5. Step 5: Solve for x
    x = 63,407,345,253.26/261,890.31
  6. Step 6: Final answer
    x = 242,114.13

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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.