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Finding the Fourth Proportional to 77,279.34, 106,649.46 and 43,285.80

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Solution

The fourth proportional to 77,279.34, 106,649.46 and 43,285.80 is: 59,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.34 : 106,649.46 = 43,285.80 : x
  2. Step 2: Convert to fraction form
    77,279.34/106,649.46 = 43,285.80/x
  3. Step 3: Cross multiply
    77,279.34x = 106,649.46 × 43,285.80
  4. Step 4: Simplify right side
    77,279.34x = 4,616,407,195.67
  5. Step 5: Solve for x
    x = 4,616,407,195.67/77,279.34
  6. Step 6: Final answer
    x = 59,736.63

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1.5x scale

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.