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Finding the Fourth Proportional to 216,418.94, 298,652.56 and 120,926.42

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Solution

The fourth proportional to 216,418.94, 298,652.56 and 120,926.42 is: 166,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,418.94 : 298,652.56 = 120,926.42 : x
  2. Step 2: Convert to fraction form
    216,418.94/298,652.56 = 120,926.42/x
  3. Step 3: Cross multiply
    216,418.94x = 298,652.56 × 120,926.42
  4. Step 4: Simplify right side
    216,418.94x = 36,114,984,904.64
  5. Step 5: Solve for x
    x = 36,114,984,904.64/216,418.94
  6. Step 6: Final answer
    x = 166,875.34

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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.