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Finding the Fourth Proportional to 137,511, 206,266.50 and 39,015

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Solution

The fourth proportional to 137,511, 206,266.50 and 39,015 is: 58,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,511 : 206,266.50 = 39,015 : x
  2. Step 2: Convert to fraction form
    137,511/206,266.50 = 39,015/x
  3. Step 3: Cross multiply
    137,511x = 206,266.50 × 39,015
  4. Step 4: Simplify right side
    137,511x = 8,047,487,497.50
  5. Step 5: Solve for x
    x = 8,047,487,497.50/137,511
  6. Step 6: Final answer
    x = 58,522.50

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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.