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Finding the Fourth Proportional to 80,266.36, 110,785.98 and 53,410

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Solution

The fourth proportional to 80,266.36, 110,785.98 and 53,410 is: 73,718.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,266.36 : 110,785.98 = 53,410 : x
  2. Step 2: Convert to fraction form
    80,266.36/110,785.98 = 53,410/x
  3. Step 3: Cross multiply
    80,266.36x = 110,785.98 × 53,410
  4. Step 4: Simplify right side
    80,266.36x = 5,917,079,191.80
  5. Step 5: Solve for x
    x = 5,917,079,191.80/80,266.36
  6. Step 6: Final answer
    x = 73,718.05

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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.