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Finding the Fourth Proportional to 75,021, 112,532.58 and 19,617

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Solution

The fourth proportional to 75,021, 112,532.58 and 19,617 is: 29,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,021 : 112,532.58 = 19,617 : x
  2. Step 2: Convert to fraction form
    75,021/112,532.58 = 19,617/x
  3. Step 3: Cross multiply
    75,021x = 112,532.58 × 19,617
  4. Step 4: Simplify right side
    75,021x = 2,207,551,621.86
  5. Step 5: Solve for x
    x = 2,207,551,621.86/75,021
  6. Step 6: Final answer
    x = 29,425.78

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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.