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Finding the Fourth Proportional to 75,390.30, 113,128.65 and 28,676.70

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Solution

The fourth proportional to 75,390.30, 113,128.65 and 28,676.70 is: 43,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,390.30 : 113,128.65 = 28,676.70 : x
  2. Step 2: Convert to fraction form
    75,390.30/113,128.65 = 28,676.70/x
  3. Step 3: Cross multiply
    75,390.30x = 113,128.65 × 28,676.70
  4. Step 4: Simplify right side
    75,390.30x = 3,244,156,357.46
  5. Step 5: Solve for x
    x = 3,244,156,357.46/75,390.30
  6. Step 6: Final answer
    x = 43,031.48

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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.