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Finding the Fourth Proportional to 57,005, 78,666.34 and 31,513

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Solution

The fourth proportional to 57,005, 78,666.34 and 31,513 is: 43,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005 : 78,666.34 = 31,513 : x
  2. Step 2: Convert to fraction form
    57,005/78,666.34 = 31,513/x
  3. Step 3: Cross multiply
    57,005x = 78,666.34 × 31,513
  4. Step 4: Simplify right side
    57,005x = 2,479,012,372.42
  5. Step 5: Solve for x
    x = 2,479,012,372.42/57,005
  6. Step 6: Final answer
    x = 43,487.63

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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.