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Finding the Fourth Proportional to 98,217, 147,329.15 and 31,658.09

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Solution

The fourth proportional to 98,217, 147,329.15 and 31,658.09 is: 47,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,217 : 147,329.15 = 31,658.09 : x
  2. Step 2: Convert to fraction form
    98,217/147,329.15 = 31,658.09/x
  3. Step 3: Cross multiply
    98,217x = 147,329.15 × 31,658.09
  4. Step 4: Simplify right side
    98,217x = 4,664,158,595.39
  5. Step 5: Solve for x
    x = 4,664,158,595.39/98,217
  6. Step 6: Final answer
    x = 47,488.30

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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.