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Finding the Fourth Proportional to 78,172.75, 107,967.50 and 52,978.51

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Solution

The fourth proportional to 78,172.75, 107,967.50 and 52,978.51 is: 73,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.75 : 107,967.50 = 52,978.51 : x
  2. Step 2: Convert to fraction form
    78,172.75/107,967.50 = 52,978.51/x
  3. Step 3: Cross multiply
    78,172.75x = 107,967.50 × 52,978.51
  4. Step 4: Simplify right side
    78,172.75x = 5,719,957,278.43
  5. Step 5: Solve for x
    x = 5,719,957,278.43/78,172.75
  6. Step 6: Final answer
    x = 73,170.73

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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.