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Finding the Fourth Proportional to 100,740.78, 139,016.81 and 55,411.45

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Solution

The fourth proportional to 100,740.78, 139,016.81 and 55,411.45 is: 76,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,740.78 : 139,016.81 = 55,411.45 : x
  2. Step 2: Convert to fraction form
    100,740.78/139,016.81 = 55,411.45/x
  3. Step 3: Cross multiply
    100,740.78x = 139,016.81 × 55,411.45
  4. Step 4: Simplify right side
    100,740.78x = 7,703,123,016.47
  5. Step 5: Solve for x
    x = 7,703,123,016.47/100,740.78
  6. Step 6: Final answer
    x = 76,464.79

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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.