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Finding the Fourth Proportional to 191,989.97, 287,952.12 and 51,715.79

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Solution

The fourth proportional to 191,989.97, 287,952.12 and 51,715.79 is: 77,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,989.97 : 287,952.12 = 51,715.79 : x
  2. Step 2: Convert to fraction form
    191,989.97/287,952.12 = 51,715.79/x
  3. Step 3: Cross multiply
    191,989.97x = 287,952.12 × 51,715.79
  4. Step 4: Simplify right side
    191,989.97x = 14,891,669,928.21
  5. Step 5: Solve for x
    x = 14,891,669,928.21/191,989.97
  6. Step 6: Final answer
    x = 77,564.83

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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.