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Finding the Fourth Proportional to 147,582, 221,373 and 49,086

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Solution

The fourth proportional to 147,582, 221,373 and 49,086 is: 73,629

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 221,373 = 49,086 : x
  2. Step 2: Convert to fraction form
    147,582/221,373 = 49,086/x
  3. Step 3: Cross multiply
    147,582x = 221,373 × 49,086
  4. Step 4: Simplify right side
    147,582x = 10,866,315,078
  5. Step 5: Solve for x
    x = 10,866,315,078/147,582
  6. Step 6: Final answer
    x = 73,629

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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.