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Finding the Fourth Proportional to 147,586, 221,379 and 49,090

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Solution

The fourth proportional to 147,586, 221,379 and 49,090 is: 73,635

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,586 : 221,379 = 49,090 : x
  2. Step 2: Convert to fraction form
    147,586/221,379 = 49,090/x
  3. Step 3: Cross multiply
    147,586x = 221,379 × 49,090
  4. Step 4: Simplify right side
    147,586x = 10,867,495,110
  5. Step 5: Solve for x
    x = 10,867,495,110/147,586
  6. Step 6: Final answer
    x = 73,635

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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.