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Finding the Fourth Proportional to 100,658.14, 138,907.83 and 55,338.98

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Solution

The fourth proportional to 100,658.14, 138,907.83 and 55,338.98 is: 76,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.14 : 138,907.83 = 55,338.98 : x
  2. Step 2: Convert to fraction form
    100,658.14/138,907.83 = 55,338.98/x
  3. Step 3: Cross multiply
    100,658.14x = 138,907.83 × 55,338.98
  4. Step 4: Simplify right side
    100,658.14x = 7,687,017,626.21
  5. Step 5: Solve for x
    x = 7,687,017,626.21/100,658.14
  6. Step 6: Final answer
    x = 76,367.57

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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.