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Finding the Fourth Proportional to 216,658.73, 299,064.20 and 148,900

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Solution

The fourth proportional to 216,658.73, 299,064.20 and 148,900 is: 205,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,658.73 : 299,064.20 = 148,900 : x
  2. Step 2: Convert to fraction form
    216,658.73/299,064.20 = 148,900/x
  3. Step 3: Cross multiply
    216,658.73x = 299,064.20 × 148,900
  4. Step 4: Simplify right side
    216,658.73x = 44,530,659,380
  5. Step 5: Solve for x
    x = 44,530,659,380/216,658.73
  6. Step 6: Final answer
    x = 205,533.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.