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Finding the Fourth Proportional to 212,951.72, 319,358.47 and 70,758.81

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Solution

The fourth proportional to 212,951.72, 319,358.47 and 70,758.81 is: 106,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.72 : 319,358.47 = 70,758.81 : x
  2. Step 2: Convert to fraction form
    212,951.72/319,358.47 = 70,758.81/x
  3. Step 3: Cross multiply
    212,951.72x = 319,358.47 × 70,758.81
  4. Step 4: Simplify right side
    212,951.72x = 22,597,425,300.62
  5. Step 5: Solve for x
    x = 22,597,425,300.62/212,951.72
  6. Step 6: Final answer
    x = 106,115.25

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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.