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Finding the Fourth Proportional to 101,642.14, 152,556.84 and 51,758.20

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Solution

The fourth proportional to 101,642.14, 152,556.84 and 51,758.20 is: 77,684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,642.14 : 152,556.84 = 51,758.20 : x
  2. Step 2: Convert to fraction form
    101,642.14/152,556.84 = 51,758.20/x
  3. Step 3: Cross multiply
    101,642.14x = 152,556.84 × 51,758.20
  4. Step 4: Simplify right side
    101,642.14x = 7,896,067,436.09
  5. Step 5: Solve for x
    x = 7,896,067,436.09/101,642.14
  6. Step 6: Final answer
    x = 77,684.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.