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Finding the Fourth Proportional to 191,964.68, 287,965.02 and 71,989.64

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Solution

The fourth proportional to 191,964.68, 287,965.02 and 71,989.64 is: 107,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,964.68 : 287,965.02 = 71,989.64 : x
  2. Step 2: Convert to fraction form
    191,964.68/287,965.02 = 71,989.64/x
  3. Step 3: Cross multiply
    191,964.68x = 287,965.02 × 71,989.64
  4. Step 4: Simplify right side
    191,964.68x = 20,730,498,122.39
  5. Step 5: Solve for x
    x = 20,730,498,122.39/191,964.68
  6. Step 6: Final answer
    x = 107,991.21

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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.