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Finding the Fourth Proportional to 258,121, 356,263.91 and 143,439

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Solution

The fourth proportional to 258,121, 356,263.91 and 143,439 is: 197,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,121 : 356,263.91 = 143,439 : x
  2. Step 2: Convert to fraction form
    258,121/356,263.91 = 143,439/x
  3. Step 3: Cross multiply
    258,121x = 356,263.91 × 143,439
  4. Step 4: Simplify right side
    258,121x = 51,102,138,986.49
  5. Step 5: Solve for x
    x = 51,102,138,986.49/258,121
  6. Step 6: Final answer
    x = 197,977.46

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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.