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Finding the Fourth Proportional to 75,145.20, 112,708.08 and 28,392

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Solution

The fourth proportional to 75,145.20, 112,708.08 and 28,392 is: 42,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145.20 : 112,708.08 = 28,392 : x
  2. Step 2: Convert to fraction form
    75,145.20/112,708.08 = 28,392/x
  3. Step 3: Cross multiply
    75,145.20x = 112,708.08 × 28,392
  4. Step 4: Simplify right side
    75,145.20x = 3,200,007,807.36
  5. Step 5: Solve for x
    x = 3,200,007,807.36/75,145.20
  6. Step 6: Final answer
    x = 42,584.33

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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.