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Finding the Fourth Proportional to 212,911.80, 319,398.30 and 70,708.74

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Solution

The fourth proportional to 212,911.80, 319,398.30 and 70,708.74 is: 106,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,911.80 : 319,398.30 = 70,708.74 : x
  2. Step 2: Convert to fraction form
    212,911.80/319,398.30 = 70,708.74/x
  3. Step 3: Cross multiply
    212,911.80x = 319,398.30 × 70,708.74
  4. Step 4: Simplify right side
    212,911.80x = 22,584,251,351.14
  5. Step 5: Solve for x
    x = 22,584,251,351.14/212,911.80
  6. Step 6: Final answer
    x = 106,073.27

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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.