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Finding the Fourth Proportional to 137,598, 206,431.68 and 39,102

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Solution

The fourth proportional to 137,598, 206,431.68 and 39,102 is: 58,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598 : 206,431.68 = 39,102 : x
  2. Step 2: Convert to fraction form
    137,598/206,431.68 = 39,102/x
  3. Step 3: Cross multiply
    137,598x = 206,431.68 × 39,102
  4. Step 4: Simplify right side
    137,598x = 8,071,891,551.36
  5. Step 5: Solve for x
    x = 8,071,891,551.36/137,598
  6. Step 6: Final answer
    x = 58,662.86

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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.