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Finding the Fourth Proportional to 100,267, 138,368.63 and 54,937.78

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Solution

The fourth proportional to 100,267, 138,368.63 and 54,937.78 is: 75,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267 : 138,368.63 = 54,937.78 : x
  2. Step 2: Convert to fraction form
    100,267/138,368.63 = 54,937.78/x
  3. Step 3: Cross multiply
    100,267x = 138,368.63 × 54,937.78
  4. Step 4: Simplify right side
    100,267x = 7,601,665,353.84
  5. Step 5: Solve for x
    x = 7,601,665,353.84/100,267
  6. Step 6: Final answer
    x = 75,814.23

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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.