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Finding the Fourth Proportional to 215,262.78, 322,894.44 and 102,916.59

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Solution

The fourth proportional to 215,262.78, 322,894.44 and 102,916.59 is: 154,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,262.78 : 322,894.44 = 102,916.59 : x
  2. Step 2: Convert to fraction form
    215,262.78/322,894.44 = 102,916.59/x
  3. Step 3: Cross multiply
    215,262.78x = 322,894.44 × 102,916.59
  4. Step 4: Simplify right side
    215,262.78x = 33,231,194,694.76
  5. Step 5: Solve for x
    x = 33,231,194,694.76/215,262.78
  6. Step 6: Final answer
    x = 154,375.01

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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.