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Finding the Fourth Proportional to 189,834, 284,798.61 and 56,713.74

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Solution

The fourth proportional to 189,834, 284,798.61 and 56,713.74 is: 85,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,834 : 284,798.61 = 56,713.74 : x
  2. Step 2: Convert to fraction form
    189,834/284,798.61 = 56,713.74/x
  3. Step 3: Cross multiply
    189,834x = 284,798.61 × 56,713.74
  4. Step 4: Simplify right side
    189,834x = 16,151,994,319.90
  5. Step 5: Solve for x
    x = 16,151,994,319.90/189,834
  6. Step 6: Final answer
    x = 85,084.83

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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.