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Finding the Fourth Proportional to 191,654.07, 287,298.09 and 71,678.49

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Solution

The fourth proportional to 191,654.07, 287,298.09 and 71,678.49 is: 107,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,654.07 : 287,298.09 = 71,678.49 : x
  2. Step 2: Convert to fraction form
    191,654.07/287,298.09 = 71,678.49/x
  3. Step 3: Cross multiply
    191,654.07x = 287,298.09 × 71,678.49
  4. Step 4: Simplify right side
    191,654.07x = 20,593,094,617.79
  5. Step 5: Solve for x
    x = 20,593,094,617.79/191,654.07
  6. Step 6: Final answer
    x = 107,449.29

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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.