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Finding the Fourth Proportional to 216,202.40, 298,339.64 and 120,691.52

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Solution

The fourth proportional to 216,202.40, 298,339.64 and 120,691.52 is: 166,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,202.40 : 298,339.64 = 120,691.52 : x
  2. Step 2: Convert to fraction form
    216,202.40/298,339.64 = 120,691.52/x
  3. Step 3: Cross multiply
    216,202.40x = 298,339.64 × 120,691.52
  4. Step 4: Simplify right side
    216,202.40x = 36,007,064,627.85
  5. Step 5: Solve for x
    x = 36,007,064,627.85/216,202.40
  6. Step 6: Final answer
    x = 166,543.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.