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Finding the Fourth Proportional to 71,838.70, 99,149.47 and 41,642.91

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Solution

The fourth proportional to 71,838.70, 99,149.47 and 41,642.91 is: 57,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,838.70 : 99,149.47 = 41,642.91 : x
  2. Step 2: Convert to fraction form
    71,838.70/99,149.47 = 41,642.91/x
  3. Step 3: Cross multiply
    71,838.70x = 99,149.47 × 41,642.91
  4. Step 4: Simplify right side
    71,838.70x = 4,128,872,351.65
  5. Step 5: Solve for x
    x = 4,128,872,351.65/71,838.70
  6. Step 6: Final answer
    x = 57,474.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.