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Finding the Fourth Proportional to 57,665, 79,577.70 and 31,169

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Solution

The fourth proportional to 57,665, 79,577.70 and 31,169 is: 43,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665 : 79,577.70 = 31,169 : x
  2. Step 2: Convert to fraction form
    57,665/79,577.70 = 31,169/x
  3. Step 3: Cross multiply
    57,665x = 79,577.70 × 31,169
  4. Step 4: Simplify right side
    57,665x = 2,480,357,331.30
  5. Step 5: Solve for x
    x = 2,480,357,331.30/57,665
  6. Step 6: Final answer
    x = 43,013.22

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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.