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Finding the Fourth Proportional to 205,010.70, 307,529 and 86,666.46

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Solution

The fourth proportional to 205,010.70, 307,529 and 86,666.46 is: 130,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,010.70 : 307,529 = 86,666.46 : x
  2. Step 2: Convert to fraction form
    205,010.70/307,529 = 86,666.46/x
  3. Step 3: Cross multiply
    205,010.70x = 307,529 × 86,666.46
  4. Step 4: Simplify right side
    205,010.70x = 26,652,449,777.34
  5. Step 5: Solve for x
    x = 26,652,449,777.34/205,010.70
  6. Step 6: Final answer
    x = 130,005.16

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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.