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Finding the Fourth Proportional to 212,711.80, 319,117.32 and 70,546.68

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Solution

The fourth proportional to 212,711.80, 319,117.32 and 70,546.68 is: 105,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711.80 : 319,117.32 = 70,546.68 : x
  2. Step 2: Convert to fraction form
    212,711.80/319,117.32 = 70,546.68/x
  3. Step 3: Cross multiply
    212,711.80x = 319,117.32 × 70,546.68
  4. Step 4: Simplify right side
    212,711.80x = 22,512,667,456.50
  5. Step 5: Solve for x
    x = 22,512,667,456.50/212,711.80
  6. Step 6: Final answer
    x = 105,836.48

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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.