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Finding the Fourth Proportional to 120,779.75, 166,696.56 and 69,822.02

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Solution

The fourth proportional to 120,779.75, 166,696.56 and 69,822.02 is: 96,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779.75 : 166,696.56 = 69,822.02 : x
  2. Step 2: Convert to fraction form
    120,779.75/166,696.56 = 69,822.02/x
  3. Step 3: Cross multiply
    120,779.75x = 166,696.56 × 69,822.02
  4. Step 4: Simplify right side
    120,779.75x = 11,639,089,363.66
  5. Step 5: Solve for x
    x = 11,639,089,363.66/120,779.75
  6. Step 6: Final answer
    x = 96,366.24

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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.