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Finding the Fourth Proportional to 102,557.76, 153,745.17 and 55,198.26

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Solution

The fourth proportional to 102,557.76, 153,745.17 and 55,198.26 is: 82,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,557.76 : 153,745.17 = 55,198.26 : x
  2. Step 2: Convert to fraction form
    102,557.76/153,745.17 = 55,198.26/x
  3. Step 3: Cross multiply
    102,557.76x = 153,745.17 × 55,198.26
  4. Step 4: Simplify right side
    102,557.76x = 8,486,465,867.40
  5. Step 5: Solve for x
    x = 8,486,465,867.40/102,557.76
  6. Step 6: Final answer
    x = 82,748.16

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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.