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Finding the Fourth Proportional to 99,911, 137,881.14 and 57,469.48

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Solution

The fourth proportional to 99,911, 137,881.14 and 57,469.48 is: 79,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,911 : 137,881.14 = 57,469.48 : x
  2. Step 2: Convert to fraction form
    99,911/137,881.14 = 57,469.48/x
  3. Step 3: Cross multiply
    99,911x = 137,881.14 × 57,469.48
  4. Step 4: Simplify right side
    99,911x = 7,923,957,417.61
  5. Step 5: Solve for x
    x = 7,923,957,417.61/99,911
  6. Step 6: Final answer
    x = 79,310.16

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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.