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Finding the Fourth Proportional to 227,642.90, 341,501.40 and 85,499.24

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Solution

The fourth proportional to 227,642.90, 341,501.40 and 85,499.24 is: 128,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.90 : 341,501.40 = 85,499.24 : x
  2. Step 2: Convert to fraction form
    227,642.90/341,501.40 = 85,499.24/x
  3. Step 3: Cross multiply
    227,642.90x = 341,501.40 × 85,499.24
  4. Step 4: Simplify right side
    227,642.90x = 29,198,108,451.43
  5. Step 5: Solve for x
    x = 29,198,108,451.43/227,642.90
  6. Step 6: Final answer
    x = 128,262.77

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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.