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Finding the Fourth Proportional to 100,692.66, 138,956.34 and 55,373.52

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Solution

The fourth proportional to 100,692.66, 138,956.34 and 55,373.52 is: 76,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,692.66 : 138,956.34 = 55,373.52 : x
  2. Step 2: Convert to fraction form
    100,692.66/138,956.34 = 55,373.52/x
  3. Step 3: Cross multiply
    100,692.66x = 138,956.34 × 55,373.52
  4. Step 4: Simplify right side
    100,692.66x = 7,694,501,672.12
  5. Step 5: Solve for x
    x = 7,694,501,672.12/100,692.66
  6. Step 6: Final answer
    x = 76,415.72

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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.