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Finding the Fourth Proportional to 206,931, 310,396.50 and 59,187

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Solution

The fourth proportional to 206,931, 310,396.50 and 59,187 is: 88,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,931 : 310,396.50 = 59,187 : x
  2. Step 2: Convert to fraction form
    206,931/310,396.50 = 59,187/x
  3. Step 3: Cross multiply
    206,931x = 310,396.50 × 59,187
  4. Step 4: Simplify right side
    206,931x = 18,371,437,645.50
  5. Step 5: Solve for x
    x = 18,371,437,645.50/206,931
  6. Step 6: Final answer
    x = 88,780.50

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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.