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Finding the Fourth Proportional to 149,378.31, 206,152.25 and 91,259.91

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Solution

The fourth proportional to 149,378.31, 206,152.25 and 91,259.91 is: 125,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,378.31 : 206,152.25 = 91,259.91 : x
  2. Step 2: Convert to fraction form
    149,378.31/206,152.25 = 91,259.91/x
  3. Step 3: Cross multiply
    149,378.31x = 206,152.25 × 91,259.91
  4. Step 4: Simplify right side
    149,378.31x = 18,813,435,325.00
  5. Step 5: Solve for x
    x = 18,813,435,325.00/149,378.31
  6. Step 6: Final answer
    x = 125,944.89

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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.