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Finding the Fourth Proportional to 145,588.92, 200,912.07 and 81,927.78

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Solution

The fourth proportional to 145,588.92, 200,912.07 and 81,927.78 is: 113,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,588.92 : 200,912.07 = 81,927.78 : x
  2. Step 2: Convert to fraction form
    145,588.92/200,912.07 = 81,927.78/x
  3. Step 3: Cross multiply
    145,588.92x = 200,912.07 × 81,927.78
  4. Step 4: Simplify right side
    145,588.92x = 16,460,279,870.30
  5. Step 5: Solve for x
    x = 16,460,279,870.30/145,588.92
  6. Step 6: Final answer
    x = 113,059.98

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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.