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Finding the Fourth Proportional to 75,639.68, 113,420.64 and 34,064

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Solution

The fourth proportional to 75,639.68, 113,420.64 and 34,064 is: 51,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639.68 : 113,420.64 = 34,064 : x
  2. Step 2: Convert to fraction form
    75,639.68/113,420.64 = 34,064/x
  3. Step 3: Cross multiply
    75,639.68x = 113,420.64 × 34,064
  4. Step 4: Simplify right side
    75,639.68x = 3,863,560,680.96
  5. Step 5: Solve for x
    x = 3,863,560,680.96/75,639.68
  6. Step 6: Final answer
    x = 51,078.49

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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.