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Finding the Fourth Proportional to 100,734.71, 139,006.83 and 55,414.60

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Solution

The fourth proportional to 100,734.71, 139,006.83 and 55,414.60 is: 76,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734.71 : 139,006.83 = 55,414.60 : x
  2. Step 2: Convert to fraction form
    100,734.71/139,006.83 = 55,414.60/x
  3. Step 3: Cross multiply
    100,734.71x = 139,006.83 × 55,414.60
  4. Step 4: Simplify right side
    100,734.71x = 7,703,007,742.01
  5. Step 5: Solve for x
    x = 7,703,007,742.01/100,734.71
  6. Step 6: Final answer
    x = 76,468.26

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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.