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Finding the Fourth Proportional to 235,895.22, 353,898.16 and 78,123.71

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Solution

The fourth proportional to 235,895.22, 353,898.16 and 78,123.71 is: 117,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,895.22 : 353,898.16 = 78,123.71 : x
  2. Step 2: Convert to fraction form
    235,895.22/353,898.16 = 78,123.71/x
  3. Step 3: Cross multiply
    235,895.22x = 353,898.16 × 78,123.71
  4. Step 4: Simplify right side
    235,895.22x = 27,647,837,910.81
  5. Step 5: Solve for x
    x = 27,647,837,910.81/235,895.22
  6. Step 6: Final answer
    x = 117,203.89

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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.