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Finding the Fourth Proportional to 77,363.60, 115,936.05 and 47,693.30

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Solution

The fourth proportional to 77,363.60, 115,936.05 and 47,693.30 is: 71,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,363.60 : 115,936.05 = 47,693.30 : x
  2. Step 2: Convert to fraction form
    77,363.60/115,936.05 = 47,693.30/x
  3. Step 3: Cross multiply
    77,363.60x = 115,936.05 × 47,693.30
  4. Step 4: Simplify right side
    77,363.60x = 5,529,372,813.47
  5. Step 5: Solve for x
    x = 5,529,372,813.47/77,363.60
  6. Step 6: Final answer
    x = 71,472.54

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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.