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Finding the Fourth Proportional to 57,805, 79,770.90 and 31,309

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Solution

The fourth proportional to 57,805, 79,770.90 and 31,309 is: 43,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805 : 79,770.90 = 31,309 : x
  2. Step 2: Convert to fraction form
    57,805/79,770.90 = 31,309/x
  3. Step 3: Cross multiply
    57,805x = 79,770.90 × 31,309
  4. Step 4: Simplify right side
    57,805x = 2,497,547,108.10
  5. Step 5: Solve for x
    x = 2,497,547,108.10/57,805
  6. Step 6: Final answer
    x = 43,206.42

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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.