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Finding the Fourth Proportional to 189,859.92, 284,737.16 and 56,708.62

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Solution

The fourth proportional to 189,859.92, 284,737.16 and 56,708.62 is: 85,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,859.92 : 284,737.16 = 56,708.62 : x
  2. Step 2: Convert to fraction form
    189,859.92/284,737.16 = 56,708.62/x
  3. Step 3: Cross multiply
    189,859.92x = 284,737.16 × 56,708.62
  4. Step 4: Simplify right side
    189,859.92x = 16,147,051,406.32
  5. Step 5: Solve for x
    x = 16,147,051,406.32/189,859.92
  6. Step 6: Final answer
    x = 85,047.18

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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.