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Finding the Fourth Proportional to 85,436.64, 128,271.60 and 54,410.40

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Solution

The fourth proportional to 85,436.64, 128,271.60 and 54,410.40 is: 81,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,436.64 : 128,271.60 = 54,410.40 : x
  2. Step 2: Convert to fraction form
    85,436.64/128,271.60 = 54,410.40/x
  3. Step 3: Cross multiply
    85,436.64x = 128,271.60 × 54,410.40
  4. Step 4: Simplify right side
    85,436.64x = 6,979,309,064.64
  5. Step 5: Solve for x
    x = 6,979,309,064.64/85,436.64
  6. Step 6: Final answer
    x = 81,689.88

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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.