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Finding the Fourth Proportional to 146,412, 202,048.56 and 79,344

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Solution

The fourth proportional to 146,412, 202,048.56 and 79,344 is: 109,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,412 : 202,048.56 = 79,344 : x
  2. Step 2: Convert to fraction form
    146,412/202,048.56 = 79,344/x
  3. Step 3: Cross multiply
    146,412x = 202,048.56 × 79,344
  4. Step 4: Simplify right side
    146,412x = 16,031,340,944.64
  5. Step 5: Solve for x
    x = 16,031,340,944.64/146,412
  6. Step 6: Final answer
    x = 109,494.72

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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.