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Finding the Fourth Proportional to 191,428.56, 287,274.24 and 66,769.56

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Solution

The fourth proportional to 191,428.56, 287,274.24 and 66,769.56 is: 100,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,428.56 : 287,274.24 = 66,769.56 : x
  2. Step 2: Convert to fraction form
    191,428.56/287,274.24 = 66,769.56/x
  3. Step 3: Cross multiply
    191,428.56x = 287,274.24 × 66,769.56
  4. Step 4: Simplify right side
    191,428.56x = 19,181,174,604.13
  5. Step 5: Solve for x
    x = 19,181,174,604.13/191,428.56
  6. Step 6: Final answer
    x = 100,200.17

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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.