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Finding the Fourth Proportional to 81,938.40, 122,713.20 and 50,445.60

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Solution

The fourth proportional to 81,938.40, 122,713.20 and 50,445.60 is: 75,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,938.40 : 122,713.20 = 50,445.60 : x
  2. Step 2: Convert to fraction form
    81,938.40/122,713.20 = 50,445.60/x
  3. Step 3: Cross multiply
    81,938.40x = 122,713.20 × 50,445.60
  4. Step 4: Simplify right side
    81,938.40x = 6,190,341,001.92
  5. Step 5: Solve for x
    x = 6,190,341,001.92/81,938.40
  6. Step 6: Final answer
    x = 75,548.72

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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.