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Finding the Fourth Proportional to 75,628.70, 113,434.40 and 20,229.02

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Solution

The fourth proportional to 75,628.70, 113,434.40 and 20,229.02 is: 30,341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,628.70 : 113,434.40 = 20,229.02 : x
  2. Step 2: Convert to fraction form
    75,628.70/113,434.40 = 20,229.02/x
  3. Step 3: Cross multiply
    75,628.70x = 113,434.40 × 20,229.02
  4. Step 4: Simplify right side
    75,628.70x = 2,294,666,746.29
  5. Step 5: Solve for x
    x = 2,294,666,746.29/75,628.70
  6. Step 6: Final answer
    x = 30,341.22

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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.