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Finding the Fourth Proportional to 201,587.20, 302,251.20 and 83,305.60

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Solution

The fourth proportional to 201,587.20, 302,251.20 and 83,305.60 is: 124,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,587.20 : 302,251.20 = 83,305.60 : x
  2. Step 2: Convert to fraction form
    201,587.20/302,251.20 = 83,305.60/x
  3. Step 3: Cross multiply
    201,587.20x = 302,251.20 × 83,305.60
  4. Step 4: Simplify right side
    201,587.20x = 25,179,217,566.72
  5. Step 5: Solve for x
    x = 25,179,217,566.72/201,587.20
  6. Step 6: Final answer
    x = 124,904.84

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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.