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Finding the Fourth Proportional to 131,872, 197,832.80 and 52,992.48

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Solution

The fourth proportional to 131,872, 197,832.80 and 52,992.48 is: 79,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,872 : 197,832.80 = 52,992.48 : x
  2. Step 2: Convert to fraction form
    131,872/197,832.80 = 52,992.48/x
  3. Step 3: Cross multiply
    131,872x = 197,832.80 × 52,992.48
  4. Step 4: Simplify right side
    131,872x = 10,483,650,697.34
  5. Step 5: Solve for x
    x = 10,483,650,697.34/131,872
  6. Step 6: Final answer
    x = 79,498.69

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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.