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Finding the Fourth Proportional to 189,876.10, 284,777.70 and 56,760.70

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Solution

The fourth proportional to 189,876.10, 284,777.70 and 56,760.70 is: 85,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876.10 : 284,777.70 = 56,760.70 : x
  2. Step 2: Convert to fraction form
    189,876.10/284,777.70 = 56,760.70/x
  3. Step 3: Cross multiply
    189,876.10x = 284,777.70 × 56,760.70
  4. Step 4: Simplify right side
    189,876.10x = 16,164,181,596.39
  5. Step 5: Solve for x
    x = 16,164,181,596.39/189,876.10
  6. Step 6: Final answer
    x = 85,130.15

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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.