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Finding the Fourth Proportional to 144,906.15, 217,421.80 and 78,393.14

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Solution

The fourth proportional to 144,906.15, 217,421.80 and 78,393.14 is: 117,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,906.15 : 217,421.80 = 78,393.14 : x
  2. Step 2: Convert to fraction form
    144,906.15/217,421.80 = 78,393.14/x
  3. Step 3: Cross multiply
    144,906.15x = 217,421.80 × 78,393.14
  4. Step 4: Simplify right side
    144,906.15x = 17,044,377,606.45
  5. Step 5: Solve for x
    x = 17,044,377,606.45/144,906.15
  6. Step 6: Final answer
    x = 117,623.56

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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.