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Finding the Fourth Proportional to 137,958.72, 206,825.23 and 71,417.85

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Solution

The fourth proportional to 137,958.72, 206,825.23 and 71,417.85 is: 107,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,958.72 : 206,825.23 = 71,417.85 : x
  2. Step 2: Convert to fraction form
    137,958.72/206,825.23 = 71,417.85/x
  3. Step 3: Cross multiply
    137,958.72x = 206,825.23 × 71,417.85
  4. Step 4: Simplify right side
    137,958.72x = 14,771,013,252.36
  5. Step 5: Solve for x
    x = 14,771,013,252.36/137,958.72
  6. Step 6: Final answer
    x = 107,068.36

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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.