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Finding the Fourth Proportional to 42,906.88, 64,360.36 and 24,400

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Solution

The fourth proportional to 42,906.88, 64,360.36 and 24,400 is: 36,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906.88 : 64,360.36 = 24,400 : x
  2. Step 2: Convert to fraction form
    42,906.88/64,360.36 = 24,400/x
  3. Step 3: Cross multiply
    42,906.88x = 64,360.36 × 24,400
  4. Step 4: Simplify right side
    42,906.88x = 1,570,392,784
  5. Step 5: Solve for x
    x = 1,570,392,784/42,906.88
  6. Step 6: Final answer
    x = 36,600.02

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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.