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Finding the Fourth Proportional to 120,693.58, 166,557.23 and 66,978.64

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Solution

The fourth proportional to 120,693.58, 166,557.23 and 66,978.64 is: 92,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.58 : 166,557.23 = 66,978.64 : x
  2. Step 2: Convert to fraction form
    120,693.58/166,557.23 = 66,978.64/x
  3. Step 3: Cross multiply
    120,693.58x = 166,557.23 × 66,978.64
  4. Step 4: Simplify right side
    120,693.58x = 11,155,775,935.16
  5. Step 5: Solve for x
    x = 11,155,775,935.16/120,693.58
  6. Step 6: Final answer
    x = 92,430.57

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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.