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Finding the Fourth Proportional to 189,790.70, 284,589.32 and 63,385.47

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Solution

The fourth proportional to 189,790.70, 284,589.32 and 63,385.47 is: 95,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,790.70 : 284,589.32 = 63,385.47 : x
  2. Step 2: Convert to fraction form
    189,790.70/284,589.32 = 63,385.47/x
  3. Step 3: Cross multiply
    189,790.70x = 284,589.32 × 63,385.47
  4. Step 4: Simplify right side
    189,790.70x = 18,038,827,488.25
  5. Step 5: Solve for x
    x = 18,038,827,488.25/189,790.70
  6. Step 6: Final answer
    x = 95,045.90

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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.