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Finding the Fourth Proportional to 137,955, 206,932.50 and 39,459

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Solution

The fourth proportional to 137,955, 206,932.50 and 39,459 is: 59,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,955 : 206,932.50 = 39,459 : x
  2. Step 2: Convert to fraction form
    137,955/206,932.50 = 39,459/x
  3. Step 3: Cross multiply
    137,955x = 206,932.50 × 39,459
  4. Step 4: Simplify right side
    137,955x = 8,165,349,517.50
  5. Step 5: Solve for x
    x = 8,165,349,517.50/137,955
  6. Step 6: Final answer
    x = 59,188.50

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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.