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Finding the Fourth Proportional to 101,486.72, 152,244.66 and 31,371.50

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Solution

The fourth proportional to 101,486.72, 152,244.66 and 31,371.50 is: 47,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486.72 : 152,244.66 = 31,371.50 : x
  2. Step 2: Convert to fraction form
    101,486.72/152,244.66 = 31,371.50/x
  3. Step 3: Cross multiply
    101,486.72x = 152,244.66 × 31,371.50
  4. Step 4: Simplify right side
    101,486.72x = 4,776,143,351.19
  5. Step 5: Solve for x
    x = 4,776,143,351.19/101,486.72
  6. Step 6: Final answer
    x = 47,061.76

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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.