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Finding the Fourth Proportional to 57,745, 79,688.14 and 31,249

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Solution

The fourth proportional to 57,745, 79,688.14 and 31,249 is: 43,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,745 : 79,688.14 = 31,249 : x
  2. Step 2: Convert to fraction form
    57,745/79,688.14 = 31,249/x
  3. Step 3: Cross multiply
    57,745x = 79,688.14 × 31,249
  4. Step 4: Simplify right side
    57,745x = 2,490,174,686.86
  5. Step 5: Solve for x
    x = 2,490,174,686.86/57,745
  6. Step 6: Final answer
    x = 43,123.64

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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.