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Finding the Fourth Proportional to 261,809.69, 392,737.08 and 72,270.09

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Solution

The fourth proportional to 261,809.69, 392,737.08 and 72,270.09 is: 108,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,809.69 : 392,737.08 = 72,270.09 : x
  2. Step 2: Convert to fraction form
    261,809.69/392,737.08 = 72,270.09/x
  3. Step 3: Cross multiply
    261,809.69x = 392,737.08 × 72,270.09
  4. Step 4: Simplify right side
    261,809.69x = 28,383,144,117.94
  5. Step 5: Solve for x
    x = 28,383,144,117.94/261,809.69
  6. Step 6: Final answer
    x = 108,411.36

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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.