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Finding the Fourth Proportional to 201,688.39, 302,532.60 and 61,447

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Solution

The fourth proportional to 201,688.39, 302,532.60 and 61,447 is: 92,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.39 : 302,532.60 = 61,447 : x
  2. Step 2: Convert to fraction form
    201,688.39/302,532.60 = 61,447/x
  3. Step 3: Cross multiply
    201,688.39x = 302,532.60 × 61,447
  4. Step 4: Simplify right side
    201,688.39x = 18,589,720,672.20
  5. Step 5: Solve for x
    x = 18,589,720,672.20/201,688.39
  6. Step 6: Final answer
    x = 92,170.50

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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.