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Finding the Fourth Proportional to 212,954.65, 319,362.83 and 70,761.74

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Solution

The fourth proportional to 212,954.65, 319,362.83 and 70,761.74 is: 106,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.65 : 319,362.83 = 70,761.74 : x
  2. Step 2: Convert to fraction form
    212,954.65/319,362.83 = 70,761.74/x
  3. Step 3: Cross multiply
    212,954.65x = 319,362.83 × 70,761.74
  4. Step 4: Simplify right side
    212,954.65x = 22,598,667,856.86
  5. Step 5: Solve for x
    x = 22,598,667,856.86/212,954.65
  6. Step 6: Final answer
    x = 106,119.63

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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.