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Finding the Fourth Proportional to 65,070, 89,813.03 and 36,792.09

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Solution

The fourth proportional to 65,070, 89,813.03 and 36,792.09 is: 50,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,070 : 89,813.03 = 36,792.09 : x
  2. Step 2: Convert to fraction form
    65,070/89,813.03 = 36,792.09/x
  3. Step 3: Cross multiply
    65,070x = 89,813.03 × 36,792.09
  4. Step 4: Simplify right side
    65,070x = 3,304,408,898.97
  5. Step 5: Solve for x
    x = 3,304,408,898.97/65,070
  6. Step 6: Final answer
    x = 50,782.37

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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.