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Finding the Fourth Proportional to 57,137.77, 78,840.75 and 35,902

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Solution

The fourth proportional to 57,137.77, 78,840.75 and 35,902 is: 49,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.77 : 78,840.75 = 35,902 : x
  2. Step 2: Convert to fraction form
    57,137.77/78,840.75 = 35,902/x
  3. Step 3: Cross multiply
    57,137.77x = 78,840.75 × 35,902
  4. Step 4: Simplify right side
    57,137.77x = 2,830,540,606.50
  5. Step 5: Solve for x
    x = 2,830,540,606.50/57,137.77
  6. Step 6: Final answer
    x = 49,538.87

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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.