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Finding the Fourth Proportional to 199,840.48, 299,974.12 and 86,044.66

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Solution

The fourth proportional to 199,840.48, 299,974.12 and 86,044.66 is: 129,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,840.48 : 299,974.12 = 86,044.66 : x
  2. Step 2: Convert to fraction form
    199,840.48/299,974.12 = 86,044.66/x
  3. Step 3: Cross multiply
    199,840.48x = 299,974.12 × 86,044.66
  4. Step 4: Simplify right side
    199,840.48x = 25,811,170,199.15
  5. Step 5: Solve for x
    x = 25,811,170,199.15/199,840.48
  6. Step 6: Final answer
    x = 129,158.87

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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.