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Finding the Fourth Proportional to 85,431.52, 128,168.52 and 35,496.64

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Solution

The fourth proportional to 85,431.52, 128,168.52 and 35,496.64 is: 53,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431.52 : 128,168.52 = 35,496.64 : x
  2. Step 2: Convert to fraction form
    85,431.52/128,168.52 = 35,496.64/x
  3. Step 3: Cross multiply
    85,431.52x = 128,168.52 × 35,496.64
  4. Step 4: Simplify right side
    85,431.52x = 4,549,551,813.77
  5. Step 5: Solve for x
    x = 4,549,551,813.77/85,431.52
  6. Step 6: Final answer
    x = 53,253.79

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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.