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Finding the Fourth Proportional to 201,693.28, 302,642 and 83,449.48

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Solution

The fourth proportional to 201,693.28, 302,642 and 83,449.48 is: 125,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.28 : 302,642 = 83,449.48 : x
  2. Step 2: Convert to fraction form
    201,693.28/302,642 = 83,449.48/x
  3. Step 3: Cross multiply
    201,693.28x = 302,642 × 83,449.48
  4. Step 4: Simplify right side
    201,693.28x = 25,255,317,526.16
  5. Step 5: Solve for x
    x = 25,255,317,526.16/201,693.28
  6. Step 6: Final answer
    x = 125,216.46

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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.