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Finding the Fourth Proportional to 234,129.56, 323,064.02 and 142,201

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Solution

The fourth proportional to 234,129.56, 323,064.02 and 142,201 is: 196,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,129.56 : 323,064.02 = 142,201 : x
  2. Step 2: Convert to fraction form
    234,129.56/323,064.02 = 142,201/x
  3. Step 3: Cross multiply
    234,129.56x = 323,064.02 × 142,201
  4. Step 4: Simplify right side
    234,129.56x = 45,940,026,708.02
  5. Step 5: Solve for x
    x = 45,940,026,708.02/234,129.56
  6. Step 6: Final answer
    x = 196,216.26

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1.5x scale

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.