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Finding the Fourth Proportional to 189,582.70, 284,155.32 and 71,178.52

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Solution

The fourth proportional to 189,582.70, 284,155.32 and 71,178.52 is: 106,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,582.70 : 284,155.32 = 71,178.52 : x
  2. Step 2: Convert to fraction form
    189,582.70/284,155.32 = 71,178.52/x
  3. Step 3: Cross multiply
    189,582.70x = 284,155.32 × 71,178.52
  4. Step 4: Simplify right side
    189,582.70x = 20,225,755,127.73
  5. Step 5: Solve for x
    x = 20,225,755,127.73/189,582.70
  6. Step 6: Final answer
    x = 106,685.66

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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.