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Finding the Fourth Proportional to 71,751.20, 107,621.40 and 31,782.56

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Solution

The fourth proportional to 71,751.20, 107,621.40 and 31,782.56 is: 47,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.20 : 107,621.40 = 31,782.56 : x
  2. Step 2: Convert to fraction form
    71,751.20/107,621.40 = 31,782.56/x
  3. Step 3: Cross multiply
    71,751.20x = 107,621.40 × 31,782.56
  4. Step 4: Simplify right side
    71,751.20x = 3,420,483,602.78
  5. Step 5: Solve for x
    x = 3,420,483,602.78/71,751.20
  6. Step 6: Final answer
    x = 47,671.45

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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.