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Finding the Fourth Proportional to 101,275.76, 151,900.32 and 31,149.20

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Solution

The fourth proportional to 101,275.76, 151,900.32 and 31,149.20 is: 46,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,275.76 : 151,900.32 = 31,149.20 : x
  2. Step 2: Convert to fraction form
    101,275.76/151,900.32 = 31,149.20/x
  3. Step 3: Cross multiply
    101,275.76x = 151,900.32 × 31,149.20
  4. Step 4: Simplify right side
    101,275.76x = 4,731,573,447.74
  5. Step 5: Solve for x
    x = 4,731,573,447.74/101,275.76
  6. Step 6: Final answer
    x = 46,719.70

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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.