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Finding the Fourth Proportional to 57,735, 79,674.30 and 31,239

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Solution

The fourth proportional to 57,735, 79,674.30 and 31,239 is: 43,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,735 : 79,674.30 = 31,239 : x
  2. Step 2: Convert to fraction form
    57,735/79,674.30 = 31,239/x
  3. Step 3: Cross multiply
    57,735x = 79,674.30 × 31,239
  4. Step 4: Simplify right side
    57,735x = 2,488,945,457.70
  5. Step 5: Solve for x
    x = 2,488,945,457.70/57,735
  6. Step 6: Final answer
    x = 43,109.82

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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.