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Finding the Fourth Proportional to 57,640, 79,543.20 and 31,144

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Solution

The fourth proportional to 57,640, 79,543.20 and 31,144 is: 42,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640 : 79,543.20 = 31,144 : x
  2. Step 2: Convert to fraction form
    57,640/79,543.20 = 31,144/x
  3. Step 3: Cross multiply
    57,640x = 79,543.20 × 31,144
  4. Step 4: Simplify right side
    57,640x = 2,477,293,420.80
  5. Step 5: Solve for x
    x = 2,477,293,420.80/57,640
  6. Step 6: Final answer
    x = 42,978.72

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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.