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Finding the Fourth Proportional to 227,900.48, 342,021.42 and 85,885.83

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Solution

The fourth proportional to 227,900.48, 342,021.42 and 85,885.83 is: 128,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,900.48 : 342,021.42 = 85,885.83 : x
  2. Step 2: Convert to fraction form
    227,900.48/342,021.42 = 85,885.83/x
  3. Step 3: Cross multiply
    227,900.48x = 342,021.42 × 85,885.83
  4. Step 4: Simplify right side
    227,900.48x = 29,374,793,534.48
  5. Step 5: Solve for x
    x = 29,374,793,534.48/227,900.48
  6. Step 6: Final answer
    x = 128,893.08

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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.