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Finding the Fourth Proportional to 191,231.70, 286,847.55 and 106,905.30

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Solution

The fourth proportional to 191,231.70, 286,847.55 and 106,905.30 is: 160,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,231.70 : 286,847.55 = 106,905.30 : x
  2. Step 2: Convert to fraction form
    191,231.70/286,847.55 = 106,905.30/x
  3. Step 3: Cross multiply
    191,231.70x = 286,847.55 × 106,905.30
  4. Step 4: Simplify right side
    191,231.70x = 30,665,523,387.02
  5. Step 5: Solve for x
    x = 30,665,523,387.02/191,231.70
  6. Step 6: Final answer
    x = 160,357.95

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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.