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Finding the Fourth Proportional to 81,900.40, 122,915.40 and 32,004.40

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Solution

The fourth proportional to 81,900.40, 122,915.40 and 32,004.40 is: 48,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900.40 : 122,915.40 = 32,004.40 : x
  2. Step 2: Convert to fraction form
    81,900.40/122,915.40 = 32,004.40/x
  3. Step 3: Cross multiply
    81,900.40x = 122,915.40 × 32,004.40
  4. Step 4: Simplify right side
    81,900.40x = 3,933,833,627.76
  5. Step 5: Solve for x
    x = 3,933,833,627.76/81,900.40
  6. Step 6: Final answer
    x = 48,031.92

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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.