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Finding the Fourth Proportional to 120,446.90, 166,274.50 and 84,667.58

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Solution

The fourth proportional to 120,446.90, 166,274.50 and 84,667.58 is: 116,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,446.90 : 166,274.50 = 84,667.58 : x
  2. Step 2: Convert to fraction form
    120,446.90/166,274.50 = 84,667.58/x
  3. Step 3: Cross multiply
    120,446.90x = 166,274.50 × 84,667.58
  4. Step 4: Simplify right side
    120,446.90x = 14,078,059,530.71
  5. Step 5: Solve for x
    x = 14,078,059,530.71/120,446.90
  6. Step 6: Final answer
    x = 116,881.88

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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.