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Finding the Fourth Proportional to 199,709.17, 299,712.53 and 146,538.54

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Solution

The fourth proportional to 199,709.17, 299,712.53 and 146,538.54 is: 219,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,709.17 : 299,712.53 = 146,538.54 : x
  2. Step 2: Convert to fraction form
    199,709.17/299,712.53 = 146,538.54/x
  3. Step 3: Cross multiply
    199,709.17x = 299,712.53 × 146,538.54
  4. Step 4: Simplify right side
    199,709.17x = 43,919,436,932.25
  5. Step 5: Solve for x
    x = 43,919,436,932.25/199,709.17
  6. Step 6: Final answer
    x = 219,916.98

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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.