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Finding the Fourth Proportional to 120,448.32, 180,499.32 and 67,746.48

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Solution

The fourth proportional to 120,448.32, 180,499.32 and 67,746.48 is: 101,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,448.32 : 180,499.32 = 67,746.48 : x
  2. Step 2: Convert to fraction form
    120,448.32/180,499.32 = 67,746.48/x
  3. Step 3: Cross multiply
    120,448.32x = 180,499.32 × 67,746.48
  4. Step 4: Simplify right side
    120,448.32x = 12,228,193,572.39
  5. Step 5: Solve for x
    x = 12,228,193,572.39/120,448.32
  6. Step 6: Final answer
    x = 101,522.33

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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.