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Finding the Fourth Proportional to 98,498.40, 147,757.86 and 31,935.84

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Solution

The fourth proportional to 98,498.40, 147,757.86 and 31,935.84 is: 47,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,498.40 : 147,757.86 = 31,935.84 : x
  2. Step 2: Convert to fraction form
    98,498.40/147,757.86 = 31,935.84/x
  3. Step 3: Cross multiply
    98,498.40x = 147,757.86 × 31,935.84
  4. Step 4: Simplify right side
    98,498.40x = 4,718,771,375.70
  5. Step 5: Solve for x
    x = 4,718,771,375.70/98,498.40
  6. Step 6: Final answer
    x = 47,907.09

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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.