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Finding the Fourth Proportional to 65,146.48, 89,905.64 and 36,464.40

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Solution

The fourth proportional to 65,146.48, 89,905.64 and 36,464.40 is: 50,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.48 : 89,905.64 = 36,464.40 : x
  2. Step 2: Convert to fraction form
    65,146.48/89,905.64 = 36,464.40/x
  3. Step 3: Cross multiply
    65,146.48x = 89,905.64 × 36,464.40
  4. Step 4: Simplify right side
    65,146.48x = 3,278,355,219.22
  5. Step 5: Solve for x
    x = 3,278,355,219.22/65,146.48
  6. Step 6: Final answer
    x = 50,322.83

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1.5x scale

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.