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Finding the Fourth Proportional to 85,402.25, 128,149.64 and 35,516.78

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Solution

The fourth proportional to 85,402.25, 128,149.64 and 35,516.78 is: 53,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.25 : 128,149.64 = 35,516.78 : x
  2. Step 2: Convert to fraction form
    85,402.25/128,149.64 = 35,516.78/x
  3. Step 3: Cross multiply
    85,402.25x = 128,149.64 × 35,516.78
  4. Step 4: Simplify right side
    85,402.25x = 4,551,462,570.96
  5. Step 5: Solve for x
    x = 4,551,462,570.96/85,402.25
  6. Step 6: Final answer
    x = 53,294.41

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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.