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Finding the Fourth Proportional to 261,762.30, 392,704.95 and 84,262.65

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Solution

The fourth proportional to 261,762.30, 392,704.95 and 84,262.65 is: 126,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,762.30 : 392,704.95 = 84,262.65 : x
  2. Step 2: Convert to fraction form
    261,762.30/392,704.95 = 84,262.65/x
  3. Step 3: Cross multiply
    261,762.30x = 392,704.95 × 84,262.65
  4. Step 4: Simplify right side
    261,762.30x = 33,090,359,755.12
  5. Step 5: Solve for x
    x = 33,090,359,755.12/261,762.30
  6. Step 6: Final answer
    x = 126,413.77

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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.