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Finding the Fourth Proportional to 120,602.70, 166,410.27 and 72,824.04

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Solution

The fourth proportional to 120,602.70, 166,410.27 and 72,824.04 is: 100,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,602.70 : 166,410.27 = 72,824.04 : x
  2. Step 2: Convert to fraction form
    120,602.70/166,410.27 = 72,824.04/x
  3. Step 3: Cross multiply
    120,602.70x = 166,410.27 × 72,824.04
  4. Step 4: Simplify right side
    120,602.70x = 12,118,668,158.89
  5. Step 5: Solve for x
    x = 12,118,668,158.89/120,602.70
  6. Step 6: Final answer
    x = 100,484.22

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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.