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Finding the Fourth Proportional to 89,218, 133,878.84 and 39,970

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Solution

The fourth proportional to 89,218, 133,878.84 and 39,970 is: 59,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,218 : 133,878.84 = 39,970 : x
  2. Step 2: Convert to fraction form
    89,218/133,878.84 = 39,970/x
  3. Step 3: Cross multiply
    89,218x = 133,878.84 × 39,970
  4. Step 4: Simplify right side
    89,218x = 5,351,137,234.80
  5. Step 5: Solve for x
    x = 5,351,137,234.80/89,218
  6. Step 6: Final answer
    x = 59,978.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.