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Finding the Fourth Proportional to 120,522.70, 166,303.86 and 66,807.70

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Solution

The fourth proportional to 120,522.70, 166,303.86 and 66,807.70 is: 92,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,522.70 : 166,303.86 = 66,807.70 : x
  2. Step 2: Convert to fraction form
    120,522.70/166,303.86 = 66,807.70/x
  3. Step 3: Cross multiply
    120,522.70x = 166,303.86 × 66,807.70
  4. Step 4: Simplify right side
    120,522.70x = 11,110,378,387.72
  5. Step 5: Solve for x
    x = 11,110,378,387.72/120,522.70
  6. Step 6: Final answer
    x = 92,184.94

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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.