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Finding the Fourth Proportional to 76,400, 114,629.16 and 29,656.52

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Solution

The fourth proportional to 76,400, 114,629.16 and 29,656.52 is: 44,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400 : 114,629.16 = 29,656.52 : x
  2. Step 2: Convert to fraction form
    76,400/114,629.16 = 29,656.52/x
  3. Step 3: Cross multiply
    76,400x = 114,629.16 × 29,656.52
  4. Step 4: Simplify right side
    76,400x = 3,399,501,976.12
  5. Step 5: Solve for x
    x = 3,399,501,976.12/76,400
  6. Step 6: Final answer
    x = 44,496.10

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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.