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Finding the Fourth Proportional to 78,999.36, 109,046.56 and 45,478.72

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Solution

The fourth proportional to 78,999.36, 109,046.56 and 45,478.72 is: 62,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,999.36 : 109,046.56 = 45,478.72 : x
  2. Step 2: Convert to fraction form
    78,999.36/109,046.56 = 45,478.72/x
  3. Step 3: Cross multiply
    78,999.36x = 109,046.56 × 45,478.72
  4. Step 4: Simplify right side
    78,999.36x = 4,959,297,969.20
  5. Step 5: Solve for x
    x = 4,959,297,969.20/78,999.36
  6. Step 6: Final answer
    x = 62,776.43

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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.