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Finding the Fourth Proportional to 77,473.23, 106,908.56 and 43,478.54

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Solution

The fourth proportional to 77,473.23, 106,908.56 and 43,478.54 is: 59,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,473.23 : 106,908.56 = 43,478.54 : x
  2. Step 2: Convert to fraction form
    77,473.23/106,908.56 = 43,478.54/x
  3. Step 3: Cross multiply
    77,473.23x = 106,908.56 × 43,478.54
  4. Step 4: Simplify right side
    77,473.23x = 4,648,228,102.30
  5. Step 5: Solve for x
    x = 4,648,228,102.30/77,473.23
  6. Step 6: Final answer
    x = 59,997.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.