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Finding the Fourth Proportional to 257,692.82, 386,575.66 and 99,937.22

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Solution

The fourth proportional to 257,692.82, 386,575.66 and 99,937.22 is: 149,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,692.82 : 386,575.66 = 99,937.22 : x
  2. Step 2: Convert to fraction form
    257,692.82/386,575.66 = 99,937.22/x
  3. Step 3: Cross multiply
    257,692.82x = 386,575.66 × 99,937.22
  4. Step 4: Simplify right side
    257,692.82x = 38,633,296,780.07
  5. Step 5: Solve for x
    x = 38,633,296,780.07/257,692.82
  6. Step 6: Final answer
    x = 149,919.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.