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Finding the Fourth Proportional to 58,200, 80,316 and 31,704

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Solution

The fourth proportional to 58,200, 80,316 and 31,704 is: 43,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,200 : 80,316 = 31,704 : x
  2. Step 2: Convert to fraction form
    58,200/80,316 = 31,704/x
  3. Step 3: Cross multiply
    58,200x = 80,316 × 31,704
  4. Step 4: Simplify right side
    58,200x = 2,546,338,464
  5. Step 5: Solve for x
    x = 2,546,338,464/58,200
  6. Step 6: Final answer
    x = 43,751.52

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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.