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Finding the Fourth Proportional to 261,847.74, 392,771.64 and 72,301.86

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Solution

The fourth proportional to 261,847.74, 392,771.64 and 72,301.86 is: 108,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,847.74 : 392,771.64 = 72,301.86 : x
  2. Step 2: Convert to fraction form
    261,847.74/392,771.64 = 72,301.86/x
  3. Step 3: Cross multiply
    261,847.74x = 392,771.64 × 72,301.86
  4. Step 4: Simplify right side
    261,847.74x = 28,398,120,127.25
  5. Step 5: Solve for x
    x = 28,398,120,127.25/261,847.74
  6. Step 6: Final answer
    x = 108,452.80

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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.