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Finding the Fourth Proportional to 216,640, 298,957.60 and 119,841.33

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Solution

The fourth proportional to 216,640, 298,957.60 and 119,841.33 is: 165,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,640 : 298,957.60 = 119,841.33 : x
  2. Step 2: Convert to fraction form
    216,640/298,957.60 = 119,841.33/x
  3. Step 3: Cross multiply
    216,640x = 298,957.60 × 119,841.33
  4. Step 4: Simplify right side
    216,640x = 35,827,476,397.61
  5. Step 5: Solve for x
    x = 35,827,476,397.61/216,640
  6. Step 6: Final answer
    x = 165,377.94

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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.