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Finding the Fourth Proportional to 85,253.16, 127,916.60 and 45,764.16

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Solution

The fourth proportional to 85,253.16, 127,916.60 and 45,764.16 is: 68,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,253.16 : 127,916.60 = 45,764.16 : x
  2. Step 2: Convert to fraction form
    85,253.16/127,916.60 = 45,764.16/x
  3. Step 3: Cross multiply
    85,253.16x = 127,916.60 × 45,764.16
  4. Step 4: Simplify right side
    85,253.16x = 5,853,995,749.06
  5. Step 5: Solve for x
    x = 5,853,995,749.06/85,253.16
  6. Step 6: Final answer
    x = 68,666.03

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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.