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Finding the Fourth Proportional to 217,298.46, 299,907.45 and 121,828.62

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Solution

The fourth proportional to 217,298.46, 299,907.45 and 121,828.62 is: 168,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,298.46 : 299,907.45 = 121,828.62 : x
  2. Step 2: Convert to fraction form
    217,298.46/299,907.45 = 121,828.62/x
  3. Step 3: Cross multiply
    217,298.46x = 299,907.45 × 121,828.62
  4. Step 4: Simplify right side
    217,298.46x = 36,537,310,761.22
  5. Step 5: Solve for x
    x = 36,537,310,761.22/217,298.46
  6. Step 6: Final answer
    x = 168,143.44

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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.