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Finding the Fourth Proportional to 191,799.79, 287,616.31 and 54,992.76

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Solution

The fourth proportional to 191,799.79, 287,616.31 and 54,992.76 is: 82,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,799.79 : 287,616.31 = 54,992.76 : x
  2. Step 2: Convert to fraction form
    191,799.79/287,616.31 = 54,992.76/x
  3. Step 3: Cross multiply
    191,799.79x = 287,616.31 × 54,992.76
  4. Step 4: Simplify right side
    191,799.79x = 15,816,814,707.92
  5. Step 5: Solve for x
    x = 15,816,814,707.92/191,799.79
  6. Step 6: Final answer
    x = 82,465.23

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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.