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Finding the Fourth Proportional to 154,854.69, 213,728.66 and 101,046.30

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Solution

The fourth proportional to 154,854.69, 213,728.66 and 101,046.30 is: 139,462.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,854.69 : 213,728.66 = 101,046.30 : x
  2. Step 2: Convert to fraction form
    154,854.69/213,728.66 = 101,046.30/x
  3. Step 3: Cross multiply
    154,854.69x = 213,728.66 × 101,046.30
  4. Step 4: Simplify right side
    154,854.69x = 21,596,489,791.73
  5. Step 5: Solve for x
    x = 21,596,489,791.73/154,854.69
  6. Step 6: Final answer
    x = 139,462.94

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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.