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Finding the Fourth Proportional to 284,126.69, 392,103.99 and 161,615.90

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Solution

The fourth proportional to 284,126.69, 392,103.99 and 161,615.90 is: 223,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,126.69 : 392,103.99 = 161,615.90 : x
  2. Step 2: Convert to fraction form
    284,126.69/392,103.99 = 161,615.90/x
  3. Step 3: Cross multiply
    284,126.69x = 392,103.99 × 161,615.90
  4. Step 4: Simplify right side
    284,126.69x = 63,370,239,237.44
  5. Step 5: Solve for x
    x = 63,370,239,237.44/284,126.69
  6. Step 6: Final answer
    x = 223,035.15

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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.