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Finding the Fourth Proportional to 101,342.28, 152,001.90 and 31,215.72

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Solution

The fourth proportional to 101,342.28, 152,001.90 and 31,215.72 is: 46,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342.28 : 152,001.90 = 31,215.72 : x
  2. Step 2: Convert to fraction form
    101,342.28/152,001.90 = 31,215.72/x
  3. Step 3: Cross multiply
    101,342.28x = 152,001.90 × 31,215.72
  4. Step 4: Simplify right side
    101,342.28x = 4,744,848,749.87
  5. Step 5: Solve for x
    x = 4,744,848,749.87/101,342.28
  6. Step 6: Final answer
    x = 46,820.03

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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.