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Finding the Fourth Proportional to 189,463.86, 284,295.42 and 77,227.02

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Solution

The fourth proportional to 189,463.86, 284,295.42 and 77,227.02 is: 115,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,463.86 : 284,295.42 = 77,227.02 : x
  2. Step 2: Convert to fraction form
    189,463.86/284,295.42 = 77,227.02/x
  3. Step 3: Cross multiply
    189,463.86x = 284,295.42 × 77,227.02
  4. Step 4: Simplify right side
    189,463.86x = 21,955,288,086.25
  5. Step 5: Solve for x
    x = 21,955,288,086.25/189,463.86
  6. Step 6: Final answer
    x = 115,881.14

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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.