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Finding the Fourth Proportional to 120,538.86, 166,342.86 and 66,823.86

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Solution

The fourth proportional to 120,538.86, 166,342.86 and 66,823.86 is: 92,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538.86 : 166,342.86 = 66,823.86 : x
  2. Step 2: Convert to fraction form
    120,538.86/166,342.86 = 66,823.86/x
  3. Step 3: Cross multiply
    120,538.86x = 166,342.86 × 66,823.86
  4. Step 4: Simplify right side
    120,538.86x = 11,115,671,988.64
  5. Step 5: Solve for x
    x = 11,115,671,988.64/120,538.86
  6. Step 6: Final answer
    x = 92,216.50

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1.5x scale

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.