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Finding the Fourth Proportional to 43,578, 65,372.40 and 13,992.48

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Solution

The fourth proportional to 43,578, 65,372.40 and 13,992.48 is: 20,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,578 : 65,372.40 = 13,992.48 : x
  2. Step 2: Convert to fraction form
    43,578/65,372.40 = 13,992.48/x
  3. Step 3: Cross multiply
    43,578x = 65,372.40 × 13,992.48
  4. Step 4: Simplify right side
    43,578x = 914,721,999.55
  5. Step 5: Solve for x
    x = 914,721,999.55/43,578
  6. Step 6: Final answer
    x = 20,990.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.