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Finding the Fourth Proportional to 284,166.74, 392,144.11 and 155,100.94

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Solution

The fourth proportional to 284,166.74, 392,144.11 and 155,100.94 is: 214,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,166.74 : 392,144.11 = 155,100.94 : x
  2. Step 2: Convert to fraction form
    284,166.74/392,144.11 = 155,100.94/x
  3. Step 3: Cross multiply
    284,166.74x = 392,144.11 × 155,100.94
  4. Step 4: Simplify right side
    284,166.74x = 60,821,917,340.24
  5. Step 5: Solve for x
    x = 60,821,917,340.24/284,166.74
  6. Step 6: Final answer
    x = 214,036.02

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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.