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Finding the Fourth Proportional to 75,276.72, 103,621.10 and 65,063.06

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Solution

The fourth proportional to 75,276.72, 103,621.10 and 65,063.06 is: 89,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,276.72 : 103,621.10 = 65,063.06 : x
  2. Step 2: Convert to fraction form
    75,276.72/103,621.10 = 65,063.06/x
  3. Step 3: Cross multiply
    75,276.72x = 103,621.10 × 65,063.06
  4. Step 4: Simplify right side
    75,276.72x = 6,741,905,846.57
  5. Step 5: Solve for x
    x = 6,741,905,846.57/75,276.72
  6. Step 6: Final answer
    x = 89,561.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.