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Finding the Fourth Proportional to 215,083.76, 322,668.71 and 120,448.53

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Solution

The fourth proportional to 215,083.76, 322,668.71 and 120,448.53 is: 180,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,083.76 : 322,668.71 = 120,448.53 : x
  2. Step 2: Convert to fraction form
    215,083.76/322,668.71 = 120,448.53/x
  3. Step 3: Cross multiply
    215,083.76x = 322,668.71 × 120,448.53
  4. Step 4: Simplify right side
    215,083.76x = 38,864,972,097.62
  5. Step 5: Solve for x
    x = 38,864,972,097.62/215,083.76
  6. Step 6: Final answer
    x = 180,696.91

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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.