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Finding the Fourth Proportional to 117,462, 162,232.11 and 77,355.03

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Solution

The fourth proportional to 117,462, 162,232.11 and 77,355.03 is: 106,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,462 : 162,232.11 = 77,355.03 : x
  2. Step 2: Convert to fraction form
    117,462/162,232.11 = 77,355.03/x
  3. Step 3: Cross multiply
    117,462x = 162,232.11 × 77,355.03
  4. Step 4: Simplify right side
    117,462x = 12,549,469,736.01
  5. Step 5: Solve for x
    x = 12,549,469,736.01/117,462
  6. Step 6: Final answer
    x = 106,838.55

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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.