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Finding the Fourth Proportional to 40,478, 55,866.93 and 23,711

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Solution

The fourth proportional to 40,478, 55,866.93 and 23,711 is: 32,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,478 : 55,866.93 = 23,711 : x
  2. Step 2: Convert to fraction form
    40,478/55,866.93 = 23,711/x
  3. Step 3: Cross multiply
    40,478x = 55,866.93 × 23,711
  4. Step 4: Simplify right side
    40,478x = 1,324,660,777.23
  5. Step 5: Solve for x
    x = 1,324,660,777.23/40,478
  6. Step 6: Final answer
    x = 32,725.45

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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.