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Finding the Fourth Proportional to 258,571.76, 356,715.96 and 157,910

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Solution

The fourth proportional to 258,571.76, 356,715.96 and 157,910 is: 217,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,571.76 : 356,715.96 = 157,910 : x
  2. Step 2: Convert to fraction form
    258,571.76/356,715.96 = 157,910/x
  3. Step 3: Cross multiply
    258,571.76x = 356,715.96 × 157,910
  4. Step 4: Simplify right side
    258,571.76x = 56,329,017,243.60
  5. Step 5: Solve for x
    x = 56,329,017,243.60/258,571.76
  6. Step 6: Final answer
    x = 217,846.75

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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.