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Finding the Fourth Proportional to 137,303.58, 206,033.22 and 74,122.86

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Solution

The fourth proportional to 137,303.58, 206,033.22 and 74,122.86 is: 111,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,303.58 : 206,033.22 = 74,122.86 : x
  2. Step 2: Convert to fraction form
    137,303.58/206,033.22 = 74,122.86/x
  3. Step 3: Cross multiply
    137,303.58x = 206,033.22 × 74,122.86
  4. Step 4: Simplify right side
    137,303.58x = 15,271,771,521.41
  5. Step 5: Solve for x
    x = 15,271,771,521.41/137,303.58
  6. Step 6: Final answer
    x = 111,226.32

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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.