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Finding the Fourth Proportional to 120,693.77, 166,557.49 and 66,978.82

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Solution

The fourth proportional to 120,693.77, 166,557.49 and 66,978.82 is: 92,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.77 : 166,557.49 = 66,978.82 : x
  2. Step 2: Convert to fraction form
    120,693.77/166,557.49 = 66,978.82/x
  3. Step 3: Cross multiply
    120,693.77x = 166,557.49 × 66,978.82
  4. Step 4: Simplify right side
    120,693.77x = 11,155,823,558.52
  5. Step 5: Solve for x
    x = 11,155,823,558.52/120,693.77
  6. Step 6: Final answer
    x = 92,430.82

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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.