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Finding the Fourth Proportional to 75,429, 113,158.07 and 28,678.23

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Solution

The fourth proportional to 75,429, 113,158.07 and 28,678.23 is: 43,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429 : 113,158.07 = 28,678.23 : x
  2. Step 2: Convert to fraction form
    75,429/113,158.07 = 28,678.23/x
  3. Step 3: Cross multiply
    75,429x = 113,158.07 × 28,678.23
  4. Step 4: Simplify right side
    75,429x = 3,245,173,014.42
  5. Step 5: Solve for x
    x = 3,245,173,014.42/75,429
  6. Step 6: Final answer
    x = 43,022.88

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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.