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Finding the Fourth Proportional to 71,315.20, 106,972.80 and 43,321.60

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Solution

The fourth proportional to 71,315.20, 106,972.80 and 43,321.60 is: 64,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,315.20 : 106,972.80 = 43,321.60 : x
  2. Step 2: Convert to fraction form
    71,315.20/106,972.80 = 43,321.60/x
  3. Step 3: Cross multiply
    71,315.20x = 106,972.80 × 43,321.60
  4. Step 4: Simplify right side
    71,315.20x = 4,634,232,852.48
  5. Step 5: Solve for x
    x = 4,634,232,852.48/71,315.20
  6. Step 6: Final answer
    x = 64,982.40

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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.