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Finding the Fourth Proportional to 212,989.88, 319,364.90 and 70,759

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Solution

The fourth proportional to 212,989.88, 319,364.90 and 70,759 is: 106,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,989.88 : 319,364.90 = 70,759 : x
  2. Step 2: Convert to fraction form
    212,989.88/319,364.90 = 70,759/x
  3. Step 3: Cross multiply
    212,989.88x = 319,364.90 × 70,759
  4. Step 4: Simplify right side
    212,989.88x = 22,597,940,959.10
  5. Step 5: Solve for x
    x = 22,597,940,959.10/212,989.88
  6. Step 6: Final answer
    x = 106,098.66

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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.