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Finding the Fourth Proportional to 65,765, 90,767.04 and 63,578

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Solution

The fourth proportional to 65,765, 90,767.04 and 63,578 is: 87,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765 : 90,767.04 = 63,578 : x
  2. Step 2: Convert to fraction form
    65,765/90,767.04 = 63,578/x
  3. Step 3: Cross multiply
    65,765x = 90,767.04 × 63,578
  4. Step 4: Simplify right side
    65,765x = 5,770,786,869.12
  5. Step 5: Solve for x
    x = 5,770,786,869.12/65,765
  6. Step 6: Final answer
    x = 87,748.60

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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.