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Finding the Fourth Proportional to 65,314, 90,133.96 and 35,506.64

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Solution

The fourth proportional to 65,314, 90,133.96 and 35,506.64 is: 48,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314 : 90,133.96 = 35,506.64 : x
  2. Step 2: Convert to fraction form
    65,314/90,133.96 = 35,506.64/x
  3. Step 3: Cross multiply
    65,314x = 90,133.96 × 35,506.64
  4. Step 4: Simplify right side
    65,314x = 3,200,354,069.49
  5. Step 5: Solve for x
    x = 3,200,354,069.49/65,314
  6. Step 6: Final answer
    x = 48,999.51

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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.