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Finding the Fourth Proportional to 219,201.72, 302,465.94 and 133,115.94

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Solution

The fourth proportional to 219,201.72, 302,465.94 and 133,115.94 is: 183,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,201.72 : 302,465.94 = 133,115.94 : x
  2. Step 2: Convert to fraction form
    219,201.72/302,465.94 = 133,115.94/x
  3. Step 3: Cross multiply
    219,201.72x = 302,465.94 × 133,115.94
  4. Step 4: Simplify right side
    219,201.72x = 40,263,037,921.08
  5. Step 5: Solve for x
    x = 40,263,037,921.08/219,201.72
  6. Step 6: Final answer
    x = 183,680.30

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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.