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Finding the Fourth Proportional to 100,760.49, 139,049.46 and 55,437.48

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Solution

The fourth proportional to 100,760.49, 139,049.46 and 55,437.48 is: 76,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,760.49 : 139,049.46 = 55,437.48 : x
  2. Step 2: Convert to fraction form
    100,760.49/139,049.46 = 55,437.48/x
  3. Step 3: Cross multiply
    100,760.49x = 139,049.46 × 55,437.48
  4. Step 4: Simplify right side
    100,760.49x = 7,708,551,657.76
  5. Step 5: Solve for x
    x = 7,708,551,657.76/100,760.49
  6. Step 6: Final answer
    x = 76,503.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.