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Finding the Fourth Proportional to 81,114.45, 111,913.44 and 47,116.32

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Solution

The fourth proportional to 81,114.45, 111,913.44 and 47,116.32 is: 65,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,114.45 : 111,913.44 = 47,116.32 : x
  2. Step 2: Convert to fraction form
    81,114.45/111,913.44 = 47,116.32/x
  3. Step 3: Cross multiply
    81,114.45x = 111,913.44 × 47,116.32
  4. Step 4: Simplify right side
    81,114.45x = 5,272,949,451.34
  5. Step 5: Solve for x
    x = 5,272,949,451.34/81,114.45
  6. Step 6: Final answer
    x = 65,006.29

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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.