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Finding the Fourth Proportional to 201,688.53, 302,634.86 and 83,444.73

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Solution

The fourth proportional to 201,688.53, 302,634.86 and 83,444.73 is: 125,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.53 : 302,634.86 = 83,444.73 : x
  2. Step 2: Convert to fraction form
    201,688.53/302,634.86 = 83,444.73/x
  3. Step 3: Cross multiply
    201,688.53x = 302,634.86 × 83,444.73
  4. Step 4: Simplify right side
    201,688.53x = 25,253,284,181.29
  5. Step 5: Solve for x
    x = 25,253,284,181.29/201,688.53
  6. Step 6: Final answer
    x = 125,209.32

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1.5x scale

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.