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Finding the Fourth Proportional to 65,306.94, 90,133.43 and 39,828.09

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Solution

The fourth proportional to 65,306.94, 90,133.43 and 39,828.09 is: 54,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.94 : 90,133.43 = 39,828.09 : x
  2. Step 2: Convert to fraction form
    65,306.94/90,133.43 = 39,828.09/x
  3. Step 3: Cross multiply
    65,306.94x = 90,133.43 × 39,828.09
  4. Step 4: Simplify right side
    65,306.94x = 3,589,842,162.91
  5. Step 5: Solve for x
    x = 3,589,842,162.91/65,306.94
  6. Step 6: Final answer
    x = 54,968.77

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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.