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Finding the Fourth Proportional to 30,171.60, 45,197 and 14,392

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Solution

The fourth proportional to 30,171.60, 45,197 and 14,392 is: 21,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171.60 : 45,197 = 14,392 : x
  2. Step 2: Convert to fraction form
    30,171.60/45,197 = 14,392/x
  3. Step 3: Cross multiply
    30,171.60x = 45,197 × 14,392
  4. Step 4: Simplify right side
    30,171.60x = 650,475,224
  5. Step 5: Solve for x
    x = 650,475,224/30,171.60
  6. Step 6: Final answer
    x = 21,559.19

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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.