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Finding the Fourth Proportional to 191,206.96, 286,803.96 and 72,874

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Solution

The fourth proportional to 191,206.96, 286,803.96 and 72,874 is: 109,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,206.96 : 286,803.96 = 72,874 : x
  2. Step 2: Convert to fraction form
    191,206.96/286,803.96 = 72,874/x
  3. Step 3: Cross multiply
    191,206.96x = 286,803.96 × 72,874
  4. Step 4: Simplify right side
    191,206.96x = 20,900,551,781.04
  5. Step 5: Solve for x
    x = 20,900,551,781.04/191,206.96
  6. Step 6: Final answer
    x = 109,308.53

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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.