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Finding the Fourth Proportional to 143,228.89, 214,904.10 and 76,651.75

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Solution

The fourth proportional to 143,228.89, 214,904.10 and 76,651.75 is: 115,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,228.89 : 214,904.10 = 76,651.75 : x
  2. Step 2: Convert to fraction form
    143,228.89/214,904.10 = 76,651.75/x
  3. Step 3: Cross multiply
    143,228.89x = 214,904.10 × 76,651.75
  4. Step 4: Simplify right side
    143,228.89x = 16,472,775,347.18
  5. Step 5: Solve for x
    x = 16,472,775,347.18/143,228.89
  6. Step 6: Final answer
    x = 115,010.14

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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.