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Finding the Fourth Proportional to 75,751.66, 113,341.80 and 45,243.69

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Solution

The fourth proportional to 75,751.66, 113,341.80 and 45,243.69 is: 67,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.66 : 113,341.80 = 45,243.69 : x
  2. Step 2: Convert to fraction form
    75,751.66/113,341.80 = 45,243.69/x
  3. Step 3: Cross multiply
    75,751.66x = 113,341.80 × 45,243.69
  4. Step 4: Simplify right side
    75,751.66x = 5,128,001,263.24
  5. Step 5: Solve for x
    x = 5,128,001,263.24/75,751.66
  6. Step 6: Final answer
    x = 67,694.90

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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.