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Finding the Fourth Proportional to 58,239, 80,369.88 and 31,743

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Solution

The fourth proportional to 58,239, 80,369.88 and 31,743 is: 43,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,239 : 80,369.88 = 31,743 : x
  2. Step 2: Convert to fraction form
    58,239/80,369.88 = 31,743/x
  3. Step 3: Cross multiply
    58,239x = 80,369.88 × 31,743
  4. Step 4: Simplify right side
    58,239x = 2,551,181,100.84
  5. Step 5: Solve for x
    x = 2,551,181,100.84/58,239
  6. Step 6: Final answer
    x = 43,805.37

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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.