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Finding the Fourth Proportional to 30,166.70, 45,231.80 and 13,523.64

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Solution

The fourth proportional to 30,166.70, 45,231.80 and 13,523.64 is: 20,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.70 : 45,231.80 = 13,523.64 : x
  2. Step 2: Convert to fraction form
    30,166.70/45,231.80 = 13,523.64/x
  3. Step 3: Cross multiply
    30,166.70x = 45,231.80 × 13,523.64
  4. Step 4: Simplify right side
    30,166.70x = 611,698,579.75
  5. Step 5: Solve for x
    x = 611,698,579.75/30,166.70
  6. Step 6: Final answer
    x = 20,277.28

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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.