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Finding the Fourth Proportional to 261,833.67, 392,384.38 and 141,631.13

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Solution

The fourth proportional to 261,833.67, 392,384.38 and 141,631.13 is: 212,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,833.67 : 392,384.38 = 141,631.13 : x
  2. Step 2: Convert to fraction form
    261,833.67/392,384.38 = 141,631.13/x
  3. Step 3: Cross multiply
    261,833.67x = 392,384.38 × 141,631.13
  4. Step 4: Simplify right side
    261,833.67x = 55,573,843,133.75
  5. Step 5: Solve for x
    x = 55,573,843,133.75/261,833.67
  6. Step 6: Final answer
    x = 212,248.65

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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.