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Finding the Fourth Proportional to 189,579.28, 284,368.02 and 49,337.68

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Solution

The fourth proportional to 189,579.28, 284,368.02 and 49,337.68 is: 74,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,579.28 : 284,368.02 = 49,337.68 : x
  2. Step 2: Convert to fraction form
    189,579.28/284,368.02 = 49,337.68/x
  3. Step 3: Cross multiply
    189,579.28x = 284,368.02 × 49,337.68
  4. Step 4: Simplify right side
    189,579.28x = 14,030,058,372.99
  5. Step 5: Solve for x
    x = 14,030,058,372.99/189,579.28
  6. Step 6: Final answer
    x = 74,006.29

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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.