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Finding the Fourth Proportional to 102,481.52, 153,726.99 and 31,399.06

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Solution

The fourth proportional to 102,481.52, 153,726.99 and 31,399.06 is: 47,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.52 : 153,726.99 = 31,399.06 : x
  2. Step 2: Convert to fraction form
    102,481.52/153,726.99 = 31,399.06/x
  3. Step 3: Cross multiply
    102,481.52x = 153,726.99 × 31,399.06
  4. Step 4: Simplify right side
    102,481.52x = 4,826,882,982.63
  5. Step 5: Solve for x
    x = 4,826,882,982.63/102,481.52
  6. Step 6: Final answer
    x = 47,100.03

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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.