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Finding the Fourth Proportional to 144,835.59, 217,313.39 and 78,197.39

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Solution

The fourth proportional to 144,835.59, 217,313.39 and 78,197.39 is: 117,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,835.59 : 217,313.39 = 78,197.39 : x
  2. Step 2: Convert to fraction form
    144,835.59/217,313.39 = 78,197.39/x
  3. Step 3: Cross multiply
    144,835.59x = 217,313.39 × 78,197.39
  4. Step 4: Simplify right side
    144,835.59x = 16,993,340,648.83
  5. Step 5: Solve for x
    x = 16,993,340,648.83/144,835.59
  6. Step 6: Final answer
    x = 117,328.49

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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.