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Finding the Fourth Proportional to 76,548.30, 114,804.90 and 29,168.78

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Solution

The fourth proportional to 76,548.30, 114,804.90 and 29,168.78 is: 43,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548.30 : 114,804.90 = 29,168.78 : x
  2. Step 2: Convert to fraction form
    76,548.30/114,804.90 = 29,168.78/x
  3. Step 3: Cross multiply
    76,548.30x = 114,804.90 × 29,168.78
  4. Step 4: Simplify right side
    76,548.30x = 3,348,718,297.00
  5. Step 5: Solve for x
    x = 3,348,718,297.00/76,548.30
  6. Step 6: Final answer
    x = 43,746.48

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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.