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Finding the Fourth Proportional to 105,257.97, 157,999.32 and 45,316.11

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Solution

The fourth proportional to 105,257.97, 157,999.32 and 45,316.11 is: 68,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,257.97 : 157,999.32 = 45,316.11 : x
  2. Step 2: Convert to fraction form
    105,257.97/157,999.32 = 45,316.11/x
  3. Step 3: Cross multiply
    105,257.97x = 157,999.32 × 45,316.11
  4. Step 4: Simplify right side
    105,257.97x = 7,159,914,565.05
  5. Step 5: Solve for x
    x = 7,159,914,565.05/105,257.97
  6. Step 6: Final answer
    x = 68,022.54

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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.