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Finding the Fourth Proportional to 76,743, 115,114.59 and 29,963.07

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Solution

The fourth proportional to 76,743, 115,114.59 and 29,963.07 is: 44,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743 : 115,114.59 = 29,963.07 : x
  2. Step 2: Convert to fraction form
    76,743/115,114.59 = 29,963.07/x
  3. Step 3: Cross multiply
    76,743x = 115,114.59 × 29,963.07
  4. Step 4: Simplify right side
    76,743x = 3,449,186,518.19
  5. Step 5: Solve for x
    x = 3,449,186,518.19/76,743
  6. Step 6: Final answer
    x = 44,944.64

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1.5x scale

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.