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Finding the Fourth Proportional to 137,602, 206,437.68 and 39,106

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Solution

The fourth proportional to 137,602, 206,437.68 and 39,106 is: 58,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,602 : 206,437.68 = 39,106 : x
  2. Step 2: Convert to fraction form
    137,602/206,437.68 = 39,106/x
  3. Step 3: Cross multiply
    137,602x = 206,437.68 × 39,106
  4. Step 4: Simplify right side
    137,602x = 8,072,951,914.08
  5. Step 5: Solve for x
    x = 8,072,951,914.08/137,602
  6. Step 6: Final answer
    x = 58,668.86

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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.