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Finding the Fourth Proportional to 143,910.70, 198,592.23 and 78,497.08

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Solution

The fourth proportional to 143,910.70, 198,592.23 and 78,497.08 is: 108,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,910.70 : 198,592.23 = 78,497.08 : x
  2. Step 2: Convert to fraction form
    143,910.70/198,592.23 = 78,497.08/x
  3. Step 3: Cross multiply
    143,910.70x = 198,592.23 × 78,497.08
  4. Step 4: Simplify right side
    143,910.70x = 15,588,910,165.69
  5. Step 5: Solve for x
    x = 15,588,910,165.69/143,910.70
  6. Step 6: Final answer
    x = 108,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.