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Finding the Fourth Proportional to 201,488.82, 278,055.15 and 110,850.66

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Solution

The fourth proportional to 201,488.82, 278,055.15 and 110,850.66 is: 152,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,488.82 : 278,055.15 = 110,850.66 : x
  2. Step 2: Convert to fraction form
    201,488.82/278,055.15 = 110,850.66/x
  3. Step 3: Cross multiply
    201,488.82x = 278,055.15 × 110,850.66
  4. Step 4: Simplify right side
    201,488.82x = 30,822,596,893.90
  5. Step 5: Solve for x
    x = 30,822,596,893.90/201,488.82
  6. Step 6: Final answer
    x = 152,974.23

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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.