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Finding the Fourth Proportional to 75,434, 113,151 and 19,274.24

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Solution

The fourth proportional to 75,434, 113,151 and 19,274.24 is: 28,911.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,434 : 113,151 = 19,274.24 : x
  2. Step 2: Convert to fraction form
    75,434/113,151 = 19,274.24/x
  3. Step 3: Cross multiply
    75,434x = 113,151 × 19,274.24
  4. Step 4: Simplify right side
    75,434x = 2,180,898,964.49
  5. Step 5: Solve for x
    x = 2,180,898,964.49/75,434
  6. Step 6: Final answer
    x = 28,911.35

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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.