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Finding the Fourth Proportional to 117,295.16, 162,001.84 and 77,187.97

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Solution

The fourth proportional to 117,295.16, 162,001.84 and 77,187.97 is: 106,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,295.16 : 162,001.84 = 77,187.97 : x
  2. Step 2: Convert to fraction form
    117,295.16/162,001.84 = 77,187.97/x
  3. Step 3: Cross multiply
    117,295.16x = 162,001.84 × 77,187.97
  4. Step 4: Simplify right side
    117,295.16x = 12,504,591,969.92
  5. Step 5: Solve for x
    x = 12,504,591,969.92/117,295.16
  6. Step 6: Final answer
    x = 106,607.92

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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.