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Finding the Fourth Proportional to 85,186.64, 127,762.32 and 80,971.76

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Solution

The fourth proportional to 85,186.64, 127,762.32 and 80,971.76 is: 121,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,186.64 : 127,762.32 = 80,971.76 : x
  2. Step 2: Convert to fraction form
    85,186.64/127,762.32 = 80,971.76/x
  3. Step 3: Cross multiply
    85,186.64x = 127,762.32 × 80,971.76
  4. Step 4: Simplify right side
    85,186.64x = 10,345,139,912.08
  5. Step 5: Solve for x
    x = 10,345,139,912.08/85,186.64
  6. Step 6: Final answer
    x = 121,440.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.