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Finding the Fourth Proportional to 112,940.16, 155,873.16 and 65,192.64

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Solution

The fourth proportional to 112,940.16, 155,873.16 and 65,192.64 is: 89,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,940.16 : 155,873.16 = 65,192.64 : x
  2. Step 2: Convert to fraction form
    112,940.16/155,873.16 = 65,192.64/x
  3. Step 3: Cross multiply
    112,940.16x = 155,873.16 × 65,192.64
  4. Step 4: Simplify right side
    112,940.16x = 10,161,782,805.54
  5. Step 5: Solve for x
    x = 10,161,782,805.54/112,940.16
  6. Step 6: Final answer
    x = 89,974.93

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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.