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Finding the Fourth Proportional to 217,030.89, 299,495.68 and 120,230.78

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Solution

The fourth proportional to 217,030.89, 299,495.68 and 120,230.78 is: 165,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,030.89 : 299,495.68 = 120,230.78 : x
  2. Step 2: Convert to fraction form
    217,030.89/299,495.68 = 120,230.78/x
  3. Step 3: Cross multiply
    217,030.89x = 299,495.68 × 120,230.78
  4. Step 4: Simplify right side
    217,030.89x = 36,008,599,099.64
  5. Step 5: Solve for x
    x = 36,008,599,099.64/217,030.89
  6. Step 6: Final answer
    x = 165,914.62

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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.