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Finding the Fourth Proportional to 65,153.84, 89,911.40 and 36,474.48

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Solution

The fourth proportional to 65,153.84, 89,911.40 and 36,474.48 is: 50,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,153.84 : 89,911.40 = 36,474.48 : x
  2. Step 2: Convert to fraction form
    65,153.84/89,911.40 = 36,474.48/x
  3. Step 3: Cross multiply
    65,153.84x = 89,911.40 × 36,474.48
  4. Step 4: Simplify right side
    65,153.84x = 3,279,471,561.07
  5. Step 5: Solve for x
    x = 3,279,471,561.07/65,153.84
  6. Step 6: Final answer
    x = 50,334.28

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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.