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Finding the Fourth Proportional to 70,734.87, 106,101.70 and 28,614.47

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Solution

The fourth proportional to 70,734.87, 106,101.70 and 28,614.47 is: 42,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.87 : 106,101.70 = 28,614.47 : x
  2. Step 2: Convert to fraction form
    70,734.87/106,101.70 = 28,614.47/x
  3. Step 3: Cross multiply
    70,734.87x = 106,101.70 × 28,614.47
  4. Step 4: Simplify right side
    70,734.87x = 3,036,043,309.55
  5. Step 5: Solve for x
    x = 3,036,043,309.55/70,734.87
  6. Step 6: Final answer
    x = 42,921.45

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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.