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Finding the Fourth Proportional to 100,193.92, 138,267.86 and 54,254.04

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Solution

The fourth proportional to 100,193.92, 138,267.86 and 54,254.04 is: 74,870.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.92 : 138,267.86 = 54,254.04 : x
  2. Step 2: Convert to fraction form
    100,193.92/138,267.86 = 54,254.04/x
  3. Step 3: Cross multiply
    100,193.92x = 138,267.86 × 54,254.04
  4. Step 4: Simplify right side
    100,193.92x = 7,501,590,007.15
  5. Step 5: Solve for x
    x = 7,501,590,007.15/100,193.92
  6. Step 6: Final answer
    x = 74,870.71

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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.