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Finding the Fourth Proportional to 219,377.81, 329,066.72 and 53,165.81

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Solution

The fourth proportional to 219,377.81, 329,066.72 and 53,165.81 is: 79,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,377.81 : 329,066.72 = 53,165.81 : x
  2. Step 2: Convert to fraction form
    219,377.81/329,066.72 = 53,165.81/x
  3. Step 3: Cross multiply
    219,377.81x = 329,066.72 × 53,165.81
  4. Step 4: Simplify right side
    219,377.81x = 17,495,099,469.05
  5. Step 5: Solve for x
    x = 17,495,099,469.05/219,377.81
  6. Step 6: Final answer
    x = 79,748.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.