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Finding the Fourth Proportional to 217,856.22, 326,828.07 and 99,495.78

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Solution

The fourth proportional to 217,856.22, 326,828.07 and 99,495.78 is: 149,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,856.22 : 326,828.07 = 99,495.78 : x
  2. Step 2: Convert to fraction form
    217,856.22/326,828.07 = 99,495.78/x
  3. Step 3: Cross multiply
    217,856.22x = 326,828.07 × 99,495.78
  4. Step 4: Simplify right side
    217,856.22x = 32,518,013,750.54
  5. Step 5: Solve for x
    x = 32,518,013,750.54/217,856.22
  6. Step 6: Final answer
    x = 149,263.65

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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.