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Finding the Fourth Proportional to 85,464.64, 128,080.16 and 54,243.84

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Solution

The fourth proportional to 85,464.64, 128,080.16 and 54,243.84 is: 81,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,464.64 : 128,080.16 = 54,243.84 : x
  2. Step 2: Convert to fraction form
    85,464.64/128,080.16 = 54,243.84/x
  3. Step 3: Cross multiply
    85,464.64x = 128,080.16 × 54,243.84
  4. Step 4: Simplify right side
    85,464.64x = 6,947,559,706.21
  5. Step 5: Solve for x
    x = 6,947,559,706.21/85,464.64
  6. Step 6: Final answer
    x = 81,291.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.