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Finding the Fourth Proportional to 57,600, 79,488 and 31,104

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Solution

The fourth proportional to 57,600, 79,488 and 31,104 is: 42,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,600 : 79,488 = 31,104 : x
  2. Step 2: Convert to fraction form
    57,600/79,488 = 31,104/x
  3. Step 3: Cross multiply
    57,600x = 79,488 × 31,104
  4. Step 4: Simplify right side
    57,600x = 2,472,394,752
  5. Step 5: Solve for x
    x = 2,472,394,752/57,600
  6. Step 6: Final answer
    x = 42,923.52

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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.