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Finding the Fourth Proportional to 189,769.29, 284,700.63 and 133,718.82

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Solution

The fourth proportional to 189,769.29, 284,700.63 and 133,718.82 is: 200,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,769.29 : 284,700.63 = 133,718.82 : x
  2. Step 2: Convert to fraction form
    189,769.29/284,700.63 = 133,718.82/x
  3. Step 3: Cross multiply
    189,769.29x = 284,700.63 × 133,718.82
  4. Step 4: Simplify right side
    189,769.29x = 38,069,832,296.86
  5. Step 5: Solve for x
    x = 38,069,832,296.86/189,769.29
  6. Step 6: Final answer
    x = 200,611.13

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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.