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Finding the Fourth Proportional to 65,748.64, 90,750 and 40,583.68

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Solution

The fourth proportional to 65,748.64, 90,750 and 40,583.68 is: 56,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748.64 : 90,750 = 40,583.68 : x
  2. Step 2: Convert to fraction form
    65,748.64/90,750 = 40,583.68/x
  3. Step 3: Cross multiply
    65,748.64x = 90,750 × 40,583.68
  4. Step 4: Simplify right side
    65,748.64x = 3,682,968,960
  5. Step 5: Solve for x
    x = 3,682,968,960/65,748.64
  6. Step 6: Final answer
    x = 56,015.90

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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.