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Finding the Fourth Proportional to 101,287.70, 151,917.15 and 31,174.10

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Solution

The fourth proportional to 101,287.70, 151,917.15 and 31,174.10 is: 46,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,287.70 : 151,917.15 = 31,174.10 : x
  2. Step 2: Convert to fraction form
    101,287.70/151,917.15 = 31,174.10/x
  3. Step 3: Cross multiply
    101,287.70x = 151,917.15 × 31,174.10
  4. Step 4: Simplify right side
    101,287.70x = 4,735,880,425.82
  5. Step 5: Solve for x
    x = 4,735,880,425.82/101,287.70
  6. Step 6: Final answer
    x = 46,756.72

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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.