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Finding the Fourth Proportional to 147,447.96, 203,478.84 and 83,789.16

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Solution

The fourth proportional to 147,447.96, 203,478.84 and 83,789.16 is: 115,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,447.96 : 203,478.84 = 83,789.16 : x
  2. Step 2: Convert to fraction form
    147,447.96/203,478.84 = 83,789.16/x
  3. Step 3: Cross multiply
    147,447.96x = 203,478.84 × 83,789.16
  4. Step 4: Simplify right side
    147,447.96x = 17,049,321,081.37
  5. Step 5: Solve for x
    x = 17,049,321,081.37/147,447.96
  6. Step 6: Final answer
    x = 115,629.41

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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.