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Finding the Fourth Proportional to 100,682, 138,941.16 and 55,978.64

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Solution

The fourth proportional to 100,682, 138,941.16 and 55,978.64 is: 77,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682 : 138,941.16 = 55,978.64 : x
  2. Step 2: Convert to fraction form
    100,682/138,941.16 = 55,978.64/x
  3. Step 3: Cross multiply
    100,682x = 138,941.16 × 55,978.64
  4. Step 4: Simplify right side
    100,682x = 7,777,737,176.82
  5. Step 5: Solve for x
    x = 7,777,737,176.82/100,682
  6. Step 6: Final answer
    x = 77,250.52

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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.