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Finding the Fourth Proportional to 82,225.44, 113,520 and 53,980.64

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Solution

The fourth proportional to 82,225.44, 113,520 and 53,980.64 is: 74,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,225.44 : 113,520 = 53,980.64 : x
  2. Step 2: Convert to fraction form
    82,225.44/113,520 = 53,980.64/x
  3. Step 3: Cross multiply
    82,225.44x = 113,520 × 53,980.64
  4. Step 4: Simplify right side
    82,225.44x = 6,127,882,252.80
  5. Step 5: Solve for x
    x = 6,127,882,252.80/82,225.44
  6. Step 6: Final answer
    x = 74,525.38

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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.