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Finding the Fourth Proportional to 251,657.67, 347,293.37 and 142,769.30

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Solution

The fourth proportional to 251,657.67, 347,293.37 and 142,769.30 is: 197,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,657.67 : 347,293.37 = 142,769.30 : x
  2. Step 2: Convert to fraction form
    251,657.67/347,293.37 = 142,769.30/x
  3. Step 3: Cross multiply
    251,657.67x = 347,293.37 × 142,769.30
  4. Step 4: Simplify right side
    251,657.67x = 49,582,831,100.45
  5. Step 5: Solve for x
    x = 49,582,831,100.45/251,657.67
  6. Step 6: Final answer
    x = 197,024.91

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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.