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Finding the Fourth Proportional to 123,195.96, 169,856.39 and 102,807.42

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Solution

The fourth proportional to 123,195.96, 169,856.39 and 102,807.42 is: 141,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,195.96 : 169,856.39 = 102,807.42 : x
  2. Step 2: Convert to fraction form
    123,195.96/169,856.39 = 102,807.42/x
  3. Step 3: Cross multiply
    123,195.96x = 169,856.39 × 102,807.42
  4. Step 4: Simplify right side
    123,195.96x = 17,462,497,226.41
  5. Step 5: Solve for x
    x = 17,462,497,226.41/123,195.96
  6. Step 6: Final answer
    x = 141,745.70

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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.