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Finding the Fourth Proportional to 206,312.55, 284,711.07 and 115,668.54

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Solution

The fourth proportional to 206,312.55, 284,711.07 and 115,668.54 is: 159,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,312.55 : 284,711.07 = 115,668.54 : x
  2. Step 2: Convert to fraction form
    206,312.55/284,711.07 = 115,668.54/x
  3. Step 3: Cross multiply
    206,312.55x = 284,711.07 × 115,668.54
  4. Step 4: Simplify right side
    206,312.55x = 32,932,113,788.74
  5. Step 5: Solve for x
    x = 32,932,113,788.74/206,312.55
  6. Step 6: Final answer
    x = 159,622.45

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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.