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Finding the Fourth Proportional to 83,214.43, 114,807.87 and 47,379.08

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Solution

The fourth proportional to 83,214.43, 114,807.87 and 47,379.08 is: 65,367.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.43 : 114,807.87 = 47,379.08 : x
  2. Step 2: Convert to fraction form
    83,214.43/114,807.87 = 47,379.08/x
  3. Step 3: Cross multiply
    83,214.43x = 114,807.87 × 47,379.08
  4. Step 4: Simplify right side
    83,214.43x = 5,439,491,544.38
  5. Step 5: Solve for x
    x = 5,439,491,544.38/83,214.43
  6. Step 6: Final answer
    x = 65,367.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.