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Finding the Fourth Proportional to 78,853.16, 108,817.31 and 43,043.16

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Solution

The fourth proportional to 78,853.16, 108,817.31 and 43,043.16 is: 59,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,853.16 : 108,817.31 = 43,043.16 : x
  2. Step 2: Convert to fraction form
    78,853.16/108,817.31 = 43,043.16/x
  3. Step 3: Cross multiply
    78,853.16x = 108,817.31 × 43,043.16
  4. Step 4: Simplify right side
    78,853.16x = 4,683,840,546.56
  5. Step 5: Solve for x
    x = 4,683,840,546.56/78,853.16
  6. Step 6: Final answer
    x = 59,399.53

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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.