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Finding the Fourth Proportional to 57,647, 79,552.86 and 31,151

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Solution

The fourth proportional to 57,647, 79,552.86 and 31,151 is: 42,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647 : 79,552.86 = 31,151 : x
  2. Step 2: Convert to fraction form
    57,647/79,552.86 = 31,151/x
  3. Step 3: Cross multiply
    57,647x = 79,552.86 × 31,151
  4. Step 4: Simplify right side
    57,647x = 2,478,151,141.86
  5. Step 5: Solve for x
    x = 2,478,151,141.86/57,647
  6. Step 6: Final answer
    x = 42,988.38

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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.