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Finding the Fourth Proportional to 98,425.88, 147,662.24 and 31,866

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Solution

The fourth proportional to 98,425.88, 147,662.24 and 31,866 is: 47,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,425.88 : 147,662.24 = 31,866 : x
  2. Step 2: Convert to fraction form
    98,425.88/147,662.24 = 31,866/x
  3. Step 3: Cross multiply
    98,425.88x = 147,662.24 × 31,866
  4. Step 4: Simplify right side
    98,425.88x = 4,705,404,939.84
  5. Step 5: Solve for x
    x = 4,705,404,939.84/98,425.88
  6. Step 6: Final answer
    x = 47,806.58

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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.