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Finding the Fourth Proportional to 77,220, 106,562.88 and 43,686

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Solution

The fourth proportional to 77,220, 106,562.88 and 43,686 is: 60,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220 : 106,562.88 = 43,686 : x
  2. Step 2: Convert to fraction form
    77,220/106,562.88 = 43,686/x
  3. Step 3: Cross multiply
    77,220x = 106,562.88 × 43,686
  4. Step 4: Simplify right side
    77,220x = 4,655,305,975.68
  5. Step 5: Solve for x
    x = 4,655,305,975.68/77,220
  6. Step 6: Final answer
    x = 60,286.27

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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.