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Finding the Fourth Proportional to 91,611, 137,431.92 and 31,623.12

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Solution

The fourth proportional to 91,611, 137,431.92 and 31,623.12 is: 47,440.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,611 : 137,431.92 = 31,623.12 : x
  2. Step 2: Convert to fraction form
    91,611/137,431.92 = 31,623.12/x
  3. Step 3: Cross multiply
    91,611x = 137,431.92 × 31,623.12
  4. Step 4: Simplify right side
    91,611x = 4,346,026,097.99
  5. Step 5: Solve for x
    x = 4,346,026,097.99/91,611
  6. Step 6: Final answer
    x = 47,440.00

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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.