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Finding the Fourth Proportional to 100,079.82, 138,223.53 and 68,193.36

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Solution

The fourth proportional to 100,079.82, 138,223.53 and 68,193.36 is: 94,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,079.82 : 138,223.53 = 68,193.36 : x
  2. Step 2: Convert to fraction form
    100,079.82/138,223.53 = 68,193.36/x
  3. Step 3: Cross multiply
    100,079.82x = 138,223.53 × 68,193.36
  4. Step 4: Simplify right side
    100,079.82x = 9,425,926,941.76
  5. Step 5: Solve for x
    x = 9,425,926,941.76/100,079.82
  6. Step 6: Final answer
    x = 94,184.09

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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.