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Finding the Fourth Proportional to 91,586.30, 137,418.96 and 49,458

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Solution

The fourth proportional to 91,586.30, 137,418.96 and 49,458 is: 74,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,586.30 : 137,418.96 = 49,458 : x
  2. Step 2: Convert to fraction form
    91,586.30/137,418.96 = 49,458/x
  3. Step 3: Cross multiply
    91,586.30x = 137,418.96 × 49,458
  4. Step 4: Simplify right side
    91,586.30x = 6,796,466,923.68
  5. Step 5: Solve for x
    x = 6,796,466,923.68/91,586.30
  6. Step 6: Final answer
    x = 74,208.34

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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.