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Finding the Fourth Proportional to 189,581.68, 284,363.48 and 47,427.92

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Solution

The fourth proportional to 189,581.68, 284,363.48 and 47,427.92 is: 71,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,581.68 : 284,363.48 = 47,427.92 : x
  2. Step 2: Convert to fraction form
    189,581.68/284,363.48 = 47,427.92/x
  3. Step 3: Cross multiply
    189,581.68x = 284,363.48 × 47,427.92
  4. Step 4: Simplify right side
    189,581.68x = 13,486,768,380.36
  5. Step 5: Solve for x
    x = 13,486,768,380.36/189,581.68
  6. Step 6: Final answer
    x = 71,139.62

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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.