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Finding the Fourth Proportional to 77,243.70, 115,994.34 and 52,105.17

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Solution

The fourth proportional to 77,243.70, 115,994.34 and 52,105.17 is: 78,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243.70 : 115,994.34 = 52,105.17 : x
  2. Step 2: Convert to fraction form
    77,243.70/115,994.34 = 52,105.17/x
  3. Step 3: Cross multiply
    77,243.70x = 115,994.34 × 52,105.17
  4. Step 4: Simplify right side
    77,243.70x = 6,043,904,804.74
  5. Step 5: Solve for x
    x = 6,043,904,804.74/77,243.70
  6. Step 6: Final answer
    x = 78,244.63

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1.5x scale

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.