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Finding the Fourth Proportional to 65,130.32, 89,880 and 35,322.32

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Solution

The fourth proportional to 65,130.32, 89,880 and 35,322.32 is: 48,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.32 : 89,880 = 35,322.32 : x
  2. Step 2: Convert to fraction form
    65,130.32/89,880 = 35,322.32/x
  3. Step 3: Cross multiply
    65,130.32x = 89,880 × 35,322.32
  4. Step 4: Simplify right side
    65,130.32x = 3,174,770,121.60
  5. Step 5: Solve for x
    x = 3,174,770,121.60/65,130.32
  6. Step 6: Final answer
    x = 48,744.89

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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.