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Finding the Fourth Proportional to 147,109.56, 203,015.12 and 83,456.92

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Solution

The fourth proportional to 147,109.56, 203,015.12 and 83,456.92 is: 115,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,109.56 : 203,015.12 = 83,456.92 : x
  2. Step 2: Convert to fraction form
    147,109.56/203,015.12 = 83,456.92/x
  3. Step 3: Cross multiply
    147,109.56x = 203,015.12 × 83,456.92
  4. Step 4: Simplify right side
    147,109.56x = 16,943,016,628.63
  5. Step 5: Solve for x
    x = 16,943,016,628.63/147,109.56
  6. Step 6: Final answer
    x = 115,172.78

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1.5x scale

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.