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Finding the Fourth Proportional to 49,642.90, 74,469.78 and 21,543.64

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Solution

The fourth proportional to 49,642.90, 74,469.78 and 21,543.64 is: 32,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,642.90 : 74,469.78 = 21,543.64 : x
  2. Step 2: Convert to fraction form
    49,642.90/74,469.78 = 21,543.64/x
  3. Step 3: Cross multiply
    49,642.90x = 74,469.78 × 21,543.64
  4. Step 4: Simplify right side
    49,642.90x = 1,604,350,131.20
  5. Step 5: Solve for x
    x = 1,604,350,131.20/49,642.90
  6. Step 6: Final answer
    x = 32,317.82

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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.