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Finding the Fourth Proportional to 100,692.79, 138,948.92 and 55,370.05

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Solution

The fourth proportional to 100,692.79, 138,948.92 and 55,370.05 is: 76,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.79 : 138,948.92 = 55,370.05 : x
  2. Step 2: Convert to fraction form
    100,692.79/138,948.92 = 55,370.05/x
  3. Step 3: Cross multiply
    100,692.79x = 138,948.92 × 55,370.05
  4. Step 4: Simplify right side
    100,692.79x = 7,693,608,231.26
  5. Step 5: Solve for x
    x = 7,693,608,231.26/100,692.79
  6. Step 6: Final answer
    x = 76,406.75

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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.