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Finding the Fourth Proportional to 78,967.16, 108,974.42 and 43,157.16

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Solution

The fourth proportional to 78,967.16, 108,974.42 and 43,157.16 is: 59,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,967.16 : 108,974.42 = 43,157.16 : x
  2. Step 2: Convert to fraction form
    78,967.16/108,974.42 = 43,157.16/x
  3. Step 3: Cross multiply
    78,967.16x = 108,974.42 × 43,157.16
  4. Step 4: Simplify right side
    78,967.16x = 4,703,026,853.77
  5. Step 5: Solve for x
    x = 4,703,026,853.77/78,967.16
  6. Step 6: Final answer
    x = 59,556.74

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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.