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Finding the Fourth Proportional to 99,763.78, 137,674.40 and 54,442.76

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Solution

The fourth proportional to 99,763.78, 137,674.40 and 54,442.76 is: 75,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,763.78 : 137,674.40 = 54,442.76 : x
  2. Step 2: Convert to fraction form
    99,763.78/137,674.40 = 54,442.76/x
  3. Step 3: Cross multiply
    99,763.78x = 137,674.40 × 54,442.76
  4. Step 4: Simplify right side
    99,763.78x = 7,495,373,820.53
  5. Step 5: Solve for x
    x = 7,495,373,820.53/99,763.78
  6. Step 6: Final answer
    x = 75,131.22

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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.