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Finding the Fourth Proportional to 201,720.80, 302,471.85 and 83,258.30

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Solution

The fourth proportional to 201,720.80, 302,471.85 and 83,258.30 is: 124,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720.80 : 302,471.85 = 83,258.30 : x
  2. Step 2: Convert to fraction form
    201,720.80/302,471.85 = 83,258.30/x
  3. Step 3: Cross multiply
    201,720.80x = 302,471.85 × 83,258.30
  4. Step 4: Simplify right side
    201,720.80x = 25,183,292,028.86
  5. Step 5: Solve for x
    x = 25,183,292,028.86/201,720.80
  6. Step 6: Final answer
    x = 124,842.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.