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Finding the Fourth Proportional to 103,960.96, 143,355.36 and 83,796.64

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Solution

The fourth proportional to 103,960.96, 143,355.36 and 83,796.64 is: 115,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.96 : 143,355.36 = 83,796.64 : x
  2. Step 2: Convert to fraction form
    103,960.96/143,355.36 = 83,796.64/x
  3. Step 3: Cross multiply
    103,960.96x = 143,355.36 × 83,796.64
  4. Step 4: Simplify right side
    103,960.96x = 12,012,697,493.99
  5. Step 5: Solve for x
    x = 12,012,697,493.99/103,960.96
  6. Step 6: Final answer
    x = 115,550.08

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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.