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Finding the Fourth Proportional to 101,858.14, 152,610.81 and 55,143.10

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Solution

The fourth proportional to 101,858.14, 152,610.81 and 55,143.10 is: 82,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,858.14 : 152,610.81 = 55,143.10 : x
  2. Step 2: Convert to fraction form
    101,858.14/152,610.81 = 55,143.10/x
  3. Step 3: Cross multiply
    101,858.14x = 152,610.81 × 55,143.10
  4. Step 4: Simplify right side
    101,858.14x = 8,415,433,156.91
  5. Step 5: Solve for x
    x = 8,415,433,156.91/101,858.14
  6. Step 6: Final answer
    x = 82,619.15

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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.