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Finding the Fourth Proportional to 191,963.68, 287,963.52 and 71,988.64

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Solution

The fourth proportional to 191,963.68, 287,963.52 and 71,988.64 is: 107,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,963.68 : 287,963.52 = 71,988.64 : x
  2. Step 2: Convert to fraction form
    191,963.68/287,963.52 = 71,988.64/x
  3. Step 3: Cross multiply
    191,963.68x = 287,963.52 × 71,988.64
  4. Step 4: Simplify right side
    191,963.68x = 20,730,102,174.41
  5. Step 5: Solve for x
    x = 20,730,102,174.41/191,963.68
  6. Step 6: Final answer
    x = 107,989.71

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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.