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Finding the Fourth Proportional to 57,732, 79,670.40 and 31,236

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Solution

The fourth proportional to 57,732, 79,670.40 and 31,236 is: 43,105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732 : 79,670.40 = 31,236 : x
  2. Step 2: Convert to fraction form
    57,732/79,670.40 = 31,236/x
  3. Step 3: Cross multiply
    57,732x = 79,670.40 × 31,236
  4. Step 4: Simplify right side
    57,732x = 2,488,584,614.40
  5. Step 5: Solve for x
    x = 2,488,584,614.40/57,732
  6. Step 6: Final answer
    x = 43,105.81

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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.