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Finding the Fourth Proportional to 100,077.52, 138,102 and 54,756.40

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Solution

The fourth proportional to 100,077.52, 138,102 and 54,756.40 is: 75,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077.52 : 138,102 = 54,756.40 : x
  2. Step 2: Convert to fraction form
    100,077.52/138,102 = 54,756.40/x
  3. Step 3: Cross multiply
    100,077.52x = 138,102 × 54,756.40
  4. Step 4: Simplify right side
    100,077.52x = 7,561,968,352.80
  5. Step 5: Solve for x
    x = 7,561,968,352.80/100,077.52
  6. Step 6: Final answer
    x = 75,561.11

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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.