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Finding the Fourth Proportional to 91,126.64, 125,754.57 and 50,838

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Solution

The fourth proportional to 91,126.64, 125,754.57 and 50,838 is: 70,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,126.64 : 125,754.57 = 50,838 : x
  2. Step 2: Convert to fraction form
    91,126.64/125,754.57 = 50,838/x
  3. Step 3: Cross multiply
    91,126.64x = 125,754.57 × 50,838
  4. Step 4: Simplify right side
    91,126.64x = 6,393,110,829.66
  5. Step 5: Solve for x
    x = 6,393,110,829.66/91,126.64
  6. Step 6: Final answer
    x = 70,156.33

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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.