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Finding the Fourth Proportional to 258,024.66, 356,062.21 and 143,310.64

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Solution

The fourth proportional to 258,024.66, 356,062.21 and 143,310.64 is: 197,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,024.66 : 356,062.21 = 143,310.64 : x
  2. Step 2: Convert to fraction form
    258,024.66/356,062.21 = 143,310.64/x
  3. Step 3: Cross multiply
    258,024.66x = 356,062.21 × 143,310.64
  4. Step 4: Simplify right side
    258,024.66x = 51,027,503,194.91
  5. Step 5: Solve for x
    x = 51,027,503,194.91/258,024.66
  6. Step 6: Final answer
    x = 197,762.12

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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.