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Finding the Fourth Proportional to 251,522.77, 347,099.77 and 142,647.83

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Solution

The fourth proportional to 251,522.77, 347,099.77 and 142,647.83 is: 196,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,522.77 : 347,099.77 = 142,647.83 : x
  2. Step 2: Convert to fraction form
    251,522.77/347,099.77 = 142,647.83/x
  3. Step 3: Cross multiply
    251,522.77x = 347,099.77 × 142,647.83
  4. Step 4: Simplify right side
    251,522.77x = 49,513,028,984.00
  5. Step 5: Solve for x
    x = 49,513,028,984.00/251,522.77
  6. Step 6: Final answer
    x = 196,853.07

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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.