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Finding the Fourth Proportional to 191,854.15, 287,788.81 and 71,898.56

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Solution

The fourth proportional to 191,854.15, 287,788.81 and 71,898.56 is: 107,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,854.15 : 287,788.81 = 71,898.56 : x
  2. Step 2: Convert to fraction form
    191,854.15/287,788.81 = 71,898.56/x
  3. Step 3: Cross multiply
    191,854.15x = 287,788.81 × 71,898.56
  4. Step 4: Simplify right side
    191,854.15x = 20,691,601,023.11
  5. Step 5: Solve for x
    x = 20,691,601,023.11/191,854.15
  6. Step 6: Final answer
    x = 107,850.68

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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.