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Finding the Fourth Proportional to 120,311.64, 166,024.68 and 66,592.86

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Solution

The fourth proportional to 120,311.64, 166,024.68 and 66,592.86 is: 91,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,311.64 : 166,024.68 = 66,592.86 : x
  2. Step 2: Convert to fraction form
    120,311.64/166,024.68 = 66,592.86/x
  3. Step 3: Cross multiply
    120,311.64x = 166,024.68 × 66,592.86
  4. Step 4: Simplify right side
    120,311.64x = 11,056,058,271.78
  5. Step 5: Solve for x
    x = 11,056,058,271.78/120,311.64
  6. Step 6: Final answer
    x = 91,895.17

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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.