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Finding the Fourth Proportional to 100,193.75, 138,267.58 and 54,253.89

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Solution

The fourth proportional to 100,193.75, 138,267.58 and 54,253.89 is: 74,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,193.75 : 138,267.58 = 54,253.89 : x
  2. Step 2: Convert to fraction form
    100,193.75/138,267.58 = 54,253.89/x
  3. Step 3: Cross multiply
    100,193.75x = 138,267.58 × 54,253.89
  4. Step 4: Simplify right side
    100,193.75x = 7,501,554,143.70
  5. Step 5: Solve for x
    x = 7,501,554,143.70/100,193.75
  6. Step 6: Final answer
    x = 74,870.48

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1.5x scale

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.