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Finding the Fourth Proportional to 76,420.64, 114,611.52 and 29,648

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Solution

The fourth proportional to 76,420.64, 114,611.52 and 29,648 is: 44,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.64 : 114,611.52 = 29,648 : x
  2. Step 2: Convert to fraction form
    76,420.64/114,611.52 = 29,648/x
  3. Step 3: Cross multiply
    76,420.64x = 114,611.52 × 29,648
  4. Step 4: Simplify right side
    76,420.64x = 3,398,002,344.96
  5. Step 5: Solve for x
    x = 3,398,002,344.96/76,420.64
  6. Step 6: Final answer
    x = 44,464.46

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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.