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Finding the Fourth Proportional to 101,479.32, 152,209.62 and 31,351.68

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Solution

The fourth proportional to 101,479.32, 152,209.62 and 31,351.68 is: 47,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,479.32 : 152,209.62 = 31,351.68 : x
  2. Step 2: Convert to fraction form
    101,479.32/152,209.62 = 31,351.68/x
  3. Step 3: Cross multiply
    101,479.32x = 152,209.62 × 31,351.68
  4. Step 4: Simplify right side
    101,479.32x = 4,772,027,299.16
  5. Step 5: Solve for x
    x = 4,772,027,299.16/101,479.32
  6. Step 6: Final answer
    x = 47,024.63

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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.