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Finding the Fourth Proportional to 77,129.50, 106,438.95 and 43,138.57

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Solution

The fourth proportional to 77,129.50, 106,438.95 and 43,138.57 is: 59,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129.50 : 106,438.95 = 43,138.57 : x
  2. Step 2: Convert to fraction form
    77,129.50/106,438.95 = 43,138.57/x
  3. Step 3: Cross multiply
    77,129.50x = 106,438.95 × 43,138.57
  4. Step 4: Simplify right side
    77,129.50x = 4,591,623,850.74
  5. Step 5: Solve for x
    x = 4,591,623,850.74/77,129.50
  6. Step 6: Final answer
    x = 59,531.36

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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.