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Finding the Fourth Proportional to 71,698.32, 107,551.80 and 21,774.24

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Solution

The fourth proportional to 71,698.32, 107,551.80 and 21,774.24 is: 32,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,698.32 : 107,551.80 = 21,774.24 : x
  2. Step 2: Convert to fraction form
    71,698.32/107,551.80 = 21,774.24/x
  3. Step 3: Cross multiply
    71,698.32x = 107,551.80 × 21,774.24
  4. Step 4: Simplify right side
    71,698.32x = 2,341,858,705.63
  5. Step 5: Solve for x
    x = 2,341,858,705.63/71,698.32
  6. Step 6: Final answer
    x = 32,662.67

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1.5x scale

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.