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Finding the Fourth Proportional to 100,087.74, 138,118.95 and 54,765.54

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Solution

The fourth proportional to 100,087.74, 138,118.95 and 54,765.54 is: 75,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,087.74 : 138,118.95 = 54,765.54 : x
  2. Step 2: Convert to fraction form
    100,087.74/138,118.95 = 54,765.54/x
  3. Step 3: Cross multiply
    100,087.74x = 138,118.95 × 54,765.54
  4. Step 4: Simplify right side
    100,087.74x = 7,564,158,880.98
  5. Step 5: Solve for x
    x = 7,564,158,880.98/100,087.74
  6. Step 6: Final answer
    x = 75,575.28

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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.