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Finding the Fourth Proportional to 275,251.50, 412,946.61 and 78,259.50

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Solution

The fourth proportional to 275,251.50, 412,946.61 and 78,259.50 is: 117,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251.50 : 412,946.61 = 78,259.50 : x
  2. Step 2: Convert to fraction form
    275,251.50/412,946.61 = 78,259.50/x
  3. Step 3: Cross multiply
    275,251.50x = 412,946.61 × 78,259.50
  4. Step 4: Simplify right side
    275,251.50x = 32,316,995,225.30
  5. Step 5: Solve for x
    x = 32,316,995,225.30/275,251.50
  6. Step 6: Final answer
    x = 117,408.97

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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.