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Finding the Fourth Proportional to 213,891.64, 320,854.02 and 71,737.72

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Solution

The fourth proportional to 213,891.64, 320,854.02 and 71,737.72 is: 107,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,891.64 : 320,854.02 = 71,737.72 : x
  2. Step 2: Convert to fraction form
    213,891.64/320,854.02 = 71,737.72/x
  3. Step 3: Cross multiply
    213,891.64x = 320,854.02 × 71,737.72
  4. Step 4: Simplify right side
    213,891.64x = 23,017,335,847.63
  5. Step 5: Solve for x
    x = 23,017,335,847.63/213,891.64
  6. Step 6: Final answer
    x = 107,612.13

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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.