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Finding the Fourth Proportional to 258,324.66, 356,492.25 and 142,043.02

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Solution

The fourth proportional to 258,324.66, 356,492.25 and 142,043.02 is: 196,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,324.66 : 356,492.25 = 142,043.02 : x
  2. Step 2: Convert to fraction form
    258,324.66/356,492.25 = 142,043.02/x
  3. Step 3: Cross multiply
    258,324.66x = 356,492.25 × 142,043.02
  4. Step 4: Simplify right side
    258,324.66x = 50,637,235,796.60
  5. Step 5: Solve for x
    x = 50,637,235,796.60/258,324.66
  6. Step 6: Final answer
    x = 196,021.69

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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.