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Finding the Fourth Proportional to 191,057.58, 286,314.78 and 140,742

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Solution

The fourth proportional to 191,057.58, 286,314.78 and 140,742 is: 210,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,057.58 : 286,314.78 = 140,742 : x
  2. Step 2: Convert to fraction form
    191,057.58/286,314.78 = 140,742/x
  3. Step 3: Cross multiply
    191,057.58x = 286,314.78 × 140,742
  4. Step 4: Simplify right side
    191,057.58x = 40,296,514,766.76
  5. Step 5: Solve for x
    x = 40,296,514,766.76/191,057.58
  6. Step 6: Final answer
    x = 210,912.93

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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.