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Finding the Fourth Proportional to 13,771,241.10, 20,631,978.45 and 12,178,716.30

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Solution

The fourth proportional to 13,771,241.10, 20,631,978.45 and 12,178,716.30 is: 18,246,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771,241.10 : 20,631,978.45 = 12,178,716.30 : x
  2. Step 2: Convert to fraction form
    13,771,241.10/20,631,978.45 = 12,178,716.30/x
  3. Step 3: Cross multiply
    13,771,241.10x = 20,631,978.45 × 12,178,716.30
  4. Step 4: Simplify right side
    13,771,241.10x = 251,271,012,250,263.75
  5. Step 5: Solve for x
    x = 251,271,012,250,263.75/13,771,241.10
  6. Step 6: Final answer
    x = 18,246,068.78

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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.