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Finding the Fourth Proportional to 103,434.75, 155,058.52 and 71,859.60

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Solution

The fourth proportional to 103,434.75, 155,058.52 and 71,859.60 is: 107,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434.75 : 155,058.52 = 71,859.60 : x
  2. Step 2: Convert to fraction form
    103,434.75/155,058.52 = 71,859.60/x
  3. Step 3: Cross multiply
    103,434.75x = 155,058.52 × 71,859.60
  4. Step 4: Simplify right side
    103,434.75x = 11,142,443,223.79
  5. Step 5: Solve for x
    x = 11,142,443,223.79/103,434.75
  6. Step 6: Final answer
    x = 107,724.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.