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Finding the Fourth Proportional to 120,168.63, 180,436.41 and 101,690.91

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Solution

The fourth proportional to 120,168.63, 180,436.41 and 101,690.91 is: 152,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.63 : 180,436.41 = 101,690.91 : x
  2. Step 2: Convert to fraction form
    120,168.63/180,436.41 = 101,690.91/x
  3. Step 3: Cross multiply
    120,168.63x = 180,436.41 × 101,690.91
  4. Step 4: Simplify right side
    120,168.63x = 18,348,742,730.03
  5. Step 5: Solve for x
    x = 18,348,742,730.03/120,168.63
  6. Step 6: Final answer
    x = 152,691.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.