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Finding the Fourth Proportional to 191,901.96, 287,710.76 and 91,967

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Solution

The fourth proportional to 191,901.96, 287,710.76 and 91,967 is: 137,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,901.96 : 287,710.76 = 91,967 : x
  2. Step 2: Convert to fraction form
    191,901.96/287,710.76 = 91,967/x
  3. Step 3: Cross multiply
    191,901.96x = 287,710.76 × 91,967
  4. Step 4: Simplify right side
    191,901.96x = 26,459,895,464.92
  5. Step 5: Solve for x
    x = 26,459,895,464.92/191,901.96
  6. Step 6: Final answer
    x = 137,882.36

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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.