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Finding the Fourth Proportional to 144,468.36, 216,408.78 and 117,909

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Solution

The fourth proportional to 144,468.36, 216,408.78 and 117,909 is: 176,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,468.36 : 216,408.78 = 117,909 : x
  2. Step 2: Convert to fraction form
    144,468.36/216,408.78 = 117,909/x
  3. Step 3: Cross multiply
    144,468.36x = 216,408.78 × 117,909
  4. Step 4: Simplify right side
    144,468.36x = 25,516,542,841.02
  5. Step 5: Solve for x
    x = 25,516,542,841.02/144,468.36
  6. Step 6: Final answer
    x = 176,623.75

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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.