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Finding the Fourth Proportional to 57,907.25, 79,912.01 and 31,411.25

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Solution

The fourth proportional to 57,907.25, 79,912.01 and 31,411.25 is: 43,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,907.25 : 79,912.01 = 31,411.25 : x
  2. Step 2: Convert to fraction form
    57,907.25/79,912.01 = 31,411.25/x
  3. Step 3: Cross multiply
    57,907.25x = 79,912.01 × 31,411.25
  4. Step 4: Simplify right side
    57,907.25x = 2,510,136,124.11
  5. Step 5: Solve for x
    x = 2,510,136,124.11/57,907.25
  6. Step 6: Final answer
    x = 43,347.53

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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.