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Finding the Fourth Proportional to 120,762.96, 166,657.68 and 69,774

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Solution

The fourth proportional to 120,762.96, 166,657.68 and 69,774 is: 96,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,762.96 : 166,657.68 = 69,774 : x
  2. Step 2: Convert to fraction form
    120,762.96/166,657.68 = 69,774/x
  3. Step 3: Cross multiply
    120,762.96x = 166,657.68 × 69,774
  4. Step 4: Simplify right side
    120,762.96x = 11,628,372,964.32
  5. Step 5: Solve for x
    x = 11,628,372,964.32/120,762.96
  6. Step 6: Final answer
    x = 96,290.89

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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.