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Finding the Fourth Proportional to 135,083.70, 186,419.25 and 74,658.24

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Solution

The fourth proportional to 135,083.70, 186,419.25 and 74,658.24 is: 103,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083.70 : 186,419.25 = 74,658.24 : x
  2. Step 2: Convert to fraction form
    135,083.70/186,419.25 = 74,658.24/x
  3. Step 3: Cross multiply
    135,083.70x = 186,419.25 × 74,658.24
  4. Step 4: Simplify right side
    135,083.70x = 13,917,733,107.12
  5. Step 5: Solve for x
    x = 13,917,733,107.12/135,083.70
  6. Step 6: Final answer
    x = 103,030.44

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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.