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Finding the Fourth Proportional to 143,284.80, 214,927.20 and 92,765.10

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Solution

The fourth proportional to 143,284.80, 214,927.20 and 92,765.10 is: 139,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,284.80 : 214,927.20 = 92,765.10 : x
  2. Step 2: Convert to fraction form
    143,284.80/214,927.20 = 92,765.10/x
  3. Step 3: Cross multiply
    143,284.80x = 214,927.20 × 92,765.10
  4. Step 4: Simplify right side
    143,284.80x = 19,937,743,200.72
  5. Step 5: Solve for x
    x = 19,937,743,200.72/143,284.80
  6. Step 6: Final answer
    x = 139,147.65

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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.