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Finding the Fourth Proportional to 100,064.89, 138,088.02 and 54,741.75

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Solution

The fourth proportional to 100,064.89, 138,088.02 and 54,741.75 is: 75,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.89 : 138,088.02 = 54,741.75 : x
  2. Step 2: Convert to fraction form
    100,064.89/138,088.02 = 54,741.75/x
  3. Step 3: Cross multiply
    100,064.89x = 138,088.02 × 54,741.75
  4. Step 4: Simplify right side
    100,064.89x = 7,559,179,868.84
  5. Step 5: Solve for x
    x = 7,559,179,868.84/100,064.89
  6. Step 6: Final answer
    x = 75,542.78

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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.