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Finding the Fourth Proportional to 189,382.86, 284,239.80 and 77,124.42

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Solution

The fourth proportional to 189,382.86, 284,239.80 and 77,124.42 is: 115,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,382.86 : 284,239.80 = 77,124.42 : x
  2. Step 2: Convert to fraction form
    189,382.86/284,239.80 = 77,124.42/x
  3. Step 3: Cross multiply
    189,382.86x = 284,239.80 × 77,124.42
  4. Step 4: Simplify right side
    189,382.86x = 21,921,829,715.92
  5. Step 5: Solve for x
    x = 21,921,829,715.92/189,382.86
  6. Step 6: Final answer
    x = 115,754.03

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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.