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Finding the Fourth Proportional to 189,812.55, 284,778.06 and 56,698.06

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Solution

The fourth proportional to 189,812.55, 284,778.06 and 56,698.06 is: 85,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,812.55 : 284,778.06 = 56,698.06 : x
  2. Step 2: Convert to fraction form
    189,812.55/284,778.06 = 56,698.06/x
  3. Step 3: Cross multiply
    189,812.55x = 284,778.06 × 56,698.06
  4. Step 4: Simplify right side
    189,812.55x = 16,146,363,532.56
  5. Step 5: Solve for x
    x = 16,146,363,532.56/189,812.55
  6. Step 6: Final answer
    x = 85,064.78

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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.