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Finding the Fourth Proportional to 145,997.85, 201,446.96 and 83,896.34

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Solution

The fourth proportional to 145,997.85, 201,446.96 and 83,896.34 is: 115,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,997.85 : 201,446.96 = 83,896.34 : x
  2. Step 2: Convert to fraction form
    145,997.85/201,446.96 = 83,896.34/x
  3. Step 3: Cross multiply
    145,997.85x = 201,446.96 × 83,896.34
  4. Step 4: Simplify right side
    145,997.85x = 16,900,661,221.41
  5. Step 5: Solve for x
    x = 16,900,661,221.41/145,997.85
  6. Step 6: Final answer
    x = 115,759.66

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1.5x scale

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.