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Finding the Fourth Proportional to 262,250, 361,905.04 and 143,018

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Solution

The fourth proportional to 262,250, 361,905.04 and 143,018 is: 197,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,250 : 361,905.04 = 143,018 : x
  2. Step 2: Convert to fraction form
    262,250/361,905.04 = 143,018/x
  3. Step 3: Cross multiply
    262,250x = 361,905.04 × 143,018
  4. Step 4: Simplify right side
    262,250x = 51,758,935,010.72
  5. Step 5: Solve for x
    x = 51,758,935,010.72/262,250
  6. Step 6: Final answer
    x = 197,364.86

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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.