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Finding the Fourth Proportional to 217,142.66, 299,662.78 and 121,647.30

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Solution

The fourth proportional to 217,142.66, 299,662.78 and 121,647.30 is: 167,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,142.66 : 299,662.78 = 121,647.30 : x
  2. Step 2: Convert to fraction form
    217,142.66/299,662.78 = 121,647.30/x
  3. Step 3: Cross multiply
    217,142.66x = 299,662.78 × 121,647.30
  4. Step 4: Simplify right side
    217,142.66x = 36,453,168,097.49
  5. Step 5: Solve for x
    x = 36,453,168,097.49/217,142.66
  6. Step 6: Final answer
    x = 167,876.58

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1.5x scale

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.