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Finding the Fourth Proportional to 120,782.60, 166,642.60 and 69,776.72

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Solution

The fourth proportional to 120,782.60, 166,642.60 and 69,776.72 is: 96,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.60 : 166,642.60 = 69,776.72 : x
  2. Step 2: Convert to fraction form
    120,782.60/166,642.60 = 69,776.72/x
  3. Step 3: Cross multiply
    120,782.60x = 166,642.60 × 69,776.72
  4. Step 4: Simplify right side
    120,782.60x = 11,627,774,040.27
  5. Step 5: Solve for x
    x = 11,627,774,040.27/120,782.60
  6. Step 6: Final answer
    x = 96,270.27

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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.