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Finding the Fourth Proportional to 105,327.46, 157,959.06 and 55,380.46

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Solution

The fourth proportional to 105,327.46, 157,959.06 and 55,380.46 is: 83,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,327.46 : 157,959.06 = 55,380.46 : x
  2. Step 2: Convert to fraction form
    105,327.46/157,959.06 = 55,380.46/x
  3. Step 3: Cross multiply
    105,327.46x = 157,959.06 × 55,380.46
  4. Step 4: Simplify right side
    105,327.46x = 8,747,845,403.97
  5. Step 5: Solve for x
    x = 8,747,845,403.97/105,327.46
  6. Step 6: Final answer
    x = 83,053.80

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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.