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Finding the Fourth Proportional to 146,413, 202,049.94 and 79,345

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Solution

The fourth proportional to 146,413, 202,049.94 and 79,345 is: 109,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,413 : 202,049.94 = 79,345 : x
  2. Step 2: Convert to fraction form
    146,413/202,049.94 = 79,345/x
  3. Step 3: Cross multiply
    146,413x = 202,049.94 × 79,345
  4. Step 4: Simplify right side
    146,413x = 16,031,652,489.30
  5. Step 5: Solve for x
    x = 16,031,652,489.30/146,413
  6. Step 6: Final answer
    x = 109,496.10

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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.