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Finding the Fourth Proportional to 228,699.63, 315,759.51 and 142,789.41

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Solution

The fourth proportional to 228,699.63, 315,759.51 and 142,789.41 is: 197,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,699.63 : 315,759.51 = 142,789.41 : x
  2. Step 2: Convert to fraction form
    228,699.63/315,759.51 = 142,789.41/x
  3. Step 3: Cross multiply
    228,699.63x = 315,759.51 × 142,789.41
  4. Step 4: Simplify right side
    228,699.63x = 45,087,114,134.79
  5. Step 5: Solve for x
    x = 45,087,114,134.79/228,699.63
  6. Step 6: Final answer
    x = 197,145.55

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Why These Related Problems?

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