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Finding the Fourth Proportional to 78,199.37, 107,845.45 and 60,976

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Solution

The fourth proportional to 78,199.37, 107,845.45 and 60,976 is: 84,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,199.37 : 107,845.45 = 60,976 : x
  2. Step 2: Convert to fraction form
    78,199.37/107,845.45 = 60,976/x
  3. Step 3: Cross multiply
    78,199.37x = 107,845.45 × 60,976
  4. Step 4: Simplify right side
    78,199.37x = 6,575,983,854.32
  5. Step 5: Solve for x
    x = 6,575,983,854.32/78,199.37
  6. Step 6: Final answer
    x = 84,092.55

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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.