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Finding the Fourth Proportional to 57,477.43, 79,318.84 and 31,985.44

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Solution

The fourth proportional to 57,477.43, 79,318.84 and 31,985.44 is: 44,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477.43 : 79,318.84 = 31,985.44 : x
  2. Step 2: Convert to fraction form
    57,477.43/79,318.84 = 31,985.44/x
  3. Step 3: Cross multiply
    57,477.43x = 79,318.84 × 31,985.44
  4. Step 4: Simplify right side
    57,477.43x = 2,537,047,997.69
  5. Step 5: Solve for x
    x = 2,537,047,997.69/57,477.43
  6. Step 6: Final answer
    x = 44,139.90

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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.