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Finding the Fourth Proportional to 100,006.82, 138,009.39 and 54,684.83

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Solution

The fourth proportional to 100,006.82, 138,009.39 and 54,684.83 is: 75,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006.82 : 138,009.39 = 54,684.83 : x
  2. Step 2: Convert to fraction form
    100,006.82/138,009.39 = 54,684.83/x
  3. Step 3: Cross multiply
    100,006.82x = 138,009.39 × 54,684.83
  4. Step 4: Simplify right side
    100,006.82x = 7,547,020,375.58
  5. Step 5: Solve for x
    x = 7,547,020,375.58/100,006.82
  6. Step 6: Final answer
    x = 75,465.06

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1.5x scale

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.