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Finding the Fourth Proportional to 90,464.99, 135,698.36 and 34,290

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Solution

The fourth proportional to 90,464.99, 135,698.36 and 34,290 is: 51,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,464.99 : 135,698.36 = 34,290 : x
  2. Step 2: Convert to fraction form
    90,464.99/135,698.36 = 34,290/x
  3. Step 3: Cross multiply
    90,464.99x = 135,698.36 × 34,290
  4. Step 4: Simplify right side
    90,464.99x = 4,653,096,592.95
  5. Step 5: Solve for x
    x = 4,653,096,592.95/90,464.99
  6. Step 6: Final answer
    x = 51,435.33

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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.