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Finding the Fourth Proportional to 215,804.50, 297,806.79 and 120,317.02

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Solution

The fourth proportional to 215,804.50, 297,806.79 and 120,317.02 is: 166,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,804.50 : 297,806.79 = 120,317.02 : x
  2. Step 2: Convert to fraction form
    215,804.50/297,806.79 = 120,317.02/x
  3. Step 3: Cross multiply
    215,804.50x = 297,806.79 × 120,317.02
  4. Step 4: Simplify right side
    215,804.50x = 35,831,225,508.57
  5. Step 5: Solve for x
    x = 35,831,225,508.57/215,804.50
  6. Step 6: Final answer
    x = 166,035.58

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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.