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Finding the Fourth Proportional to 65,609.61, 90,584.01 and 50,474.36

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Solution

The fourth proportional to 65,609.61, 90,584.01 and 50,474.36 is: 69,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,609.61 : 90,584.01 = 50,474.36 : x
  2. Step 2: Convert to fraction form
    65,609.61/90,584.01 = 50,474.36/x
  3. Step 3: Cross multiply
    65,609.61x = 90,584.01 × 50,474.36
  4. Step 4: Simplify right side
    65,609.61x = 4,572,169,478.06
  5. Step 5: Solve for x
    x = 4,572,169,478.06/65,609.61
  6. Step 6: Final answer
    x = 69,687.50

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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.