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Finding the Fourth Proportional to 101,499.70, 152,253.87 and 31,380.34

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Solution

The fourth proportional to 101,499.70, 152,253.87 and 31,380.34 is: 47,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,499.70 : 152,253.87 = 31,380.34 : x
  2. Step 2: Convert to fraction form
    101,499.70/152,253.87 = 31,380.34/x
  3. Step 3: Cross multiply
    101,499.70x = 152,253.87 × 31,380.34
  4. Step 4: Simplify right side
    101,499.70x = 4,777,778,206.92
  5. Step 5: Solve for x
    x = 4,777,778,206.92/101,499.70
  6. Step 6: Final answer
    x = 47,071.85

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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.