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Finding the Fourth Proportional to 85,871.45, 128,782.56 and 28,939.16

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Solution

The fourth proportional to 85,871.45, 128,782.56 and 28,939.16 is: 43,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,871.45 : 128,782.56 = 28,939.16 : x
  2. Step 2: Convert to fraction form
    85,871.45/128,782.56 = 28,939.16/x
  3. Step 3: Cross multiply
    85,871.45x = 128,782.56 × 28,939.16
  4. Step 4: Simplify right side
    85,871.45x = 3,726,858,465.14
  5. Step 5: Solve for x
    x = 3,726,858,465.14/85,871.45
  6. Step 6: Final answer
    x = 43,400.44

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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.