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Finding the Fourth Proportional to 100,705.21, 138,970.42 and 55,383.20

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Solution

The fourth proportional to 100,705.21, 138,970.42 and 55,383.20 is: 76,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.21 : 138,970.42 = 55,383.20 : x
  2. Step 2: Convert to fraction form
    100,705.21/138,970.42 = 55,383.20/x
  3. Step 3: Cross multiply
    100,705.21x = 138,970.42 × 55,383.20
  4. Step 4: Simplify right side
    100,705.21x = 7,696,625,593.18
  5. Step 5: Solve for x
    x = 7,696,625,593.18/100,705.21
  6. Step 6: Final answer
    x = 76,427.28

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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.