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Finding the Fourth Proportional to 212,952.78, 319,360.05 and 70,759.88

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Solution

The fourth proportional to 212,952.78, 319,360.05 and 70,759.88 is: 106,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952.78 : 319,360.05 = 70,759.88 : x
  2. Step 2: Convert to fraction form
    212,952.78/319,360.05 = 70,759.88/x
  3. Step 3: Cross multiply
    212,952.78x = 319,360.05 × 70,759.88
  4. Step 4: Simplify right side
    212,952.78x = 22,597,877,217.99
  5. Step 5: Solve for x
    x = 22,597,877,217.99/212,952.78
  6. Step 6: Final answer
    x = 106,116.85

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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.