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Finding the Fourth Proportional to 217,265.70, 325,898.55 and 142,616.10

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Solution

The fourth proportional to 217,265.70, 325,898.55 and 142,616.10 is: 213,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,265.70 : 325,898.55 = 142,616.10 : x
  2. Step 2: Convert to fraction form
    217,265.70/325,898.55 = 142,616.10/x
  3. Step 3: Cross multiply
    217,265.70x = 325,898.55 × 142,616.10
  4. Step 4: Simplify right side
    217,265.70x = 46,478,380,196.66
  5. Step 5: Solve for x
    x = 46,478,380,196.66/217,265.70
  6. Step 6: Final answer
    x = 213,924.15

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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.