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Finding the Fourth Proportional to 145,153, 217,729.66 and 57,601

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Solution

The fourth proportional to 145,153, 217,729.66 and 57,601 is: 86,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,153 : 217,729.66 = 57,601 : x
  2. Step 2: Convert to fraction form
    145,153/217,729.66 = 57,601/x
  3. Step 3: Cross multiply
    145,153x = 217,729.66 × 57,601
  4. Step 4: Simplify right side
    145,153x = 12,541,446,145.66
  5. Step 5: Solve for x
    x = 12,541,446,145.66/145,153
  6. Step 6: Final answer
    x = 86,401.56

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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.