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Finding the Fourth Proportional to 261,663.20, 392,624.40 and 103,896.80

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Solution

The fourth proportional to 261,663.20, 392,624.40 and 103,896.80 is: 155,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,663.20 : 392,624.40 = 103,896.80 : x
  2. Step 2: Convert to fraction form
    261,663.20/392,624.40 = 103,896.80/x
  3. Step 3: Cross multiply
    261,663.20x = 392,624.40 × 103,896.80
  4. Step 4: Simplify right side
    261,663.20x = 40,792,418,761.92
  5. Step 5: Solve for x
    x = 40,792,418,761.92/261,663.20
  6. Step 6: Final answer
    x = 155,896.66

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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.