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Finding the Fourth Proportional to 138,266.82, 207,523.85 and 70,844.85

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Solution

The fourth proportional to 138,266.82, 207,523.85 and 70,844.85 is: 106,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,266.82 : 207,523.85 = 70,844.85 : x
  2. Step 2: Convert to fraction form
    138,266.82/207,523.85 = 70,844.85/x
  3. Step 3: Cross multiply
    138,266.82x = 207,523.85 × 70,844.85
  4. Step 4: Simplify right side
    138,266.82x = 14,701,996,024.67
  5. Step 5: Solve for x
    x = 14,701,996,024.67/138,266.82
  6. Step 6: Final answer
    x = 106,330.62

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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.