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Finding the Fourth Proportional to 57,157.95, 78,877.95 and 31,665.97

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Solution

The fourth proportional to 57,157.95, 78,877.95 and 31,665.97 is: 43,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.95 : 78,877.95 = 31,665.97 : x
  2. Step 2: Convert to fraction form
    57,157.95/78,877.95 = 31,665.97/x
  3. Step 3: Cross multiply
    57,157.95x = 78,877.95 × 31,665.97
  4. Step 4: Simplify right side
    57,157.95x = 2,497,746,956.33
  5. Step 5: Solve for x
    x = 2,497,746,956.33/57,157.95
  6. Step 6: Final answer
    x = 43,699.03

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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.