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Finding the Fourth Proportional to 147,111.44, 203,007.80 and 83,447.87

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Solution

The fourth proportional to 147,111.44, 203,007.80 and 83,447.87 is: 115,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,111.44 : 203,007.80 = 83,447.87 : x
  2. Step 2: Convert to fraction form
    147,111.44/203,007.80 = 83,447.87/x
  3. Step 3: Cross multiply
    147,111.44x = 203,007.80 × 83,447.87
  4. Step 4: Simplify right side
    147,111.44x = 16,940,567,696.97
  5. Step 5: Solve for x
    x = 16,940,567,696.97/147,111.44
  6. Step 6: Final answer
    x = 115,154.66

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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.