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Finding the Fourth Proportional to 234,419, 351,686.82 and 68,207

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Solution

The fourth proportional to 234,419, 351,686.82 and 68,207 is: 102,327.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,419 : 351,686.82 = 68,207 : x
  2. Step 2: Convert to fraction form
    234,419/351,686.82 = 68,207/x
  3. Step 3: Cross multiply
    234,419x = 351,686.82 × 68,207
  4. Step 4: Simplify right side
    234,419x = 23,987,502,931.74
  5. Step 5: Solve for x
    x = 23,987,502,931.74/234,419
  6. Step 6: Final answer
    x = 102,327.47

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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.