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Finding the Fourth Proportional to 189,673.59, 284,265.12 and 141,913.96

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Solution

The fourth proportional to 189,673.59, 284,265.12 and 141,913.96 is: 212,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,673.59 : 284,265.12 = 141,913.96 : x
  2. Step 2: Convert to fraction form
    189,673.59/284,265.12 = 141,913.96/x
  3. Step 3: Cross multiply
    189,673.59x = 284,265.12 × 141,913.96
  4. Step 4: Simplify right side
    189,673.59x = 40,341,189,490.70
  5. Step 5: Solve for x
    x = 40,341,189,490.70/189,673.59
  6. Step 6: Final answer
    x = 212,687.44

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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.