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Finding the Fourth Proportional to 75,769.34, 113,698.31 and 42,063.74

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Solution

The fourth proportional to 75,769.34, 113,698.31 and 42,063.74 is: 63,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769.34 : 113,698.31 = 42,063.74 : x
  2. Step 2: Convert to fraction form
    75,769.34/113,698.31 = 42,063.74/x
  3. Step 3: Cross multiply
    75,769.34x = 113,698.31 × 42,063.74
  4. Step 4: Simplify right side
    75,769.34x = 4,782,575,686.95
  5. Step 5: Solve for x
    x = 4,782,575,686.95/75,769.34
  6. Step 6: Final answer
    x = 63,120.20

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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.