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Finding the Fourth Proportional to 86,011.97, 128,966.85 and 32,707.85

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Solution

The fourth proportional to 86,011.97, 128,966.85 and 32,707.85 is: 49,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011.97 : 128,966.85 = 32,707.85 : x
  2. Step 2: Convert to fraction form
    86,011.97/128,966.85 = 32,707.85/x
  3. Step 3: Cross multiply
    86,011.97x = 128,966.85 × 32,707.85
  4. Step 4: Simplify right side
    86,011.97x = 4,218,227,739.94
  5. Step 5: Solve for x
    x = 4,218,227,739.94/86,011.97
  6. Step 6: Final answer
    x = 49,042.34

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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.