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Finding the Fourth Proportional to 100,954.25, 139,319.75 and 56,245.13

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Solution

The fourth proportional to 100,954.25, 139,319.75 and 56,245.13 is: 77,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,954.25 : 139,319.75 = 56,245.13 : x
  2. Step 2: Convert to fraction form
    100,954.25/139,319.75 = 56,245.13/x
  3. Step 3: Cross multiply
    100,954.25x = 139,319.75 × 56,245.13
  4. Step 4: Simplify right side
    100,954.25x = 7,836,057,450.32
  5. Step 5: Solve for x
    x = 7,836,057,450.32/100,954.25
  6. Step 6: Final answer
    x = 77,619.89

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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.