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Finding the Fourth Proportional to 205,133.31, 307,660.88 and 86,887.69

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Solution

The fourth proportional to 205,133.31, 307,660.88 and 86,887.69 is: 130,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,133.31 : 307,660.88 = 86,887.69 : x
  2. Step 2: Convert to fraction form
    205,133.31/307,660.88 = 86,887.69/x
  3. Step 3: Cross multiply
    205,133.31x = 307,660.88 × 86,887.69
  4. Step 4: Simplify right side
    205,133.31x = 26,731,942,614.63
  5. Step 5: Solve for x
    x = 26,731,942,614.63/205,133.31
  6. Step 6: Final answer
    x = 130,314.98

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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.