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Finding the Fourth Proportional to 101,014, 139,400.12 and 55,693.60

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Solution

The fourth proportional to 101,014, 139,400.12 and 55,693.60 is: 76,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014 : 139,400.12 = 55,693.60 : x
  2. Step 2: Convert to fraction form
    101,014/139,400.12 = 55,693.60/x
  3. Step 3: Cross multiply
    101,014x = 139,400.12 × 55,693.60
  4. Step 4: Simplify right side
    101,014x = 7,763,694,523.23
  5. Step 5: Solve for x
    x = 7,763,694,523.23/101,014
  6. Step 6: Final answer
    x = 76,857.61

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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.