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Finding the Fourth Proportional to 258,120, 356,262.53 and 143,438.00

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Solution

The fourth proportional to 258,120, 356,262.53 and 143,438.00 is: 197,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,120 : 356,262.53 = 143,438.00 : x
  2. Step 2: Convert to fraction form
    258,120/356,262.53 = 143,438.00/x
  3. Step 3: Cross multiply
    258,120x = 356,262.53 × 143,438.00
  4. Step 4: Simplify right side
    258,120x = 51,101,582,279.64
  5. Step 5: Solve for x
    x = 51,101,582,279.64/258,120
  6. Step 6: Final answer
    x = 197,976.07

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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.