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Finding the Fourth Proportional to 85,871.28, 128,807.26 and 35,916.34

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Solution

The fourth proportional to 85,871.28, 128,807.26 and 35,916.34 is: 53,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,871.28 : 128,807.26 = 35,916.34 : x
  2. Step 2: Convert to fraction form
    85,871.28/128,807.26 = 35,916.34/x
  3. Step 3: Cross multiply
    85,871.28x = 128,807.26 × 35,916.34
  4. Step 4: Simplify right side
    85,871.28x = 4,626,284,843.03
  5. Step 5: Solve for x
    x = 4,626,284,843.03/85,871.28
  6. Step 6: Final answer
    x = 53,874.64

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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.