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Finding the Fourth Proportional to 78,772, 108,705.36 and 43,444

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Solution

The fourth proportional to 78,772, 108,705.36 and 43,444 is: 59,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772 : 108,705.36 = 43,444 : x
  2. Step 2: Convert to fraction form
    78,772/108,705.36 = 43,444/x
  3. Step 3: Cross multiply
    78,772x = 108,705.36 × 43,444
  4. Step 4: Simplify right side
    78,772x = 4,722,595,659.84
  5. Step 5: Solve for x
    x = 4,722,595,659.84/78,772
  6. Step 6: Final answer
    x = 59,952.72

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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.