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Finding the Fourth Proportional to 105,129.93, 157,721.49 and 30,248.46

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Solution

The fourth proportional to 105,129.93, 157,721.49 and 30,248.46 is: 45,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129.93 : 157,721.49 = 30,248.46 : x
  2. Step 2: Convert to fraction form
    105,129.93/157,721.49 = 30,248.46/x
  3. Step 3: Cross multiply
    105,129.93x = 157,721.49 × 30,248.46
  4. Step 4: Simplify right side
    105,129.93x = 4,770,832,181.41
  5. Step 5: Solve for x
    x = 4,770,832,181.41/105,129.93
  6. Step 6: Final answer
    x = 45,380.34

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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.