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Finding the Fourth Proportional to 216,086.40, 323,870.40 and 110,851.20

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Solution

The fourth proportional to 216,086.40, 323,870.40 and 110,851.20 is: 166,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.40 : 323,870.40 = 110,851.20 : x
  2. Step 2: Convert to fraction form
    216,086.40/323,870.40 = 110,851.20/x
  3. Step 3: Cross multiply
    216,086.40x = 323,870.40 × 110,851.20
  4. Step 4: Simplify right side
    216,086.40x = 35,901,422,484.48
  5. Step 5: Solve for x
    x = 35,901,422,484.48/216,086.40
  6. Step 6: Final answer
    x = 166,143.83

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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.