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Finding the Fourth Proportional to 27,978,234.60, 41,954,910.30 and 12,836,807.40

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Solution

The fourth proportional to 27,978,234.60, 41,954,910.30 and 12,836,807.40 is: 19,249,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978,234.60 : 41,954,910.30 = 12,836,807.40 : x
  2. Step 2: Convert to fraction form
    27,978,234.60/41,954,910.30 = 12,836,807.40/x
  3. Step 3: Cross multiply
    27,978,234.60x = 41,954,910.30 × 12,836,807.40
  4. Step 4: Simplify right side
    27,978,234.60x = 538,567,103,005,376.19
  5. Step 5: Solve for x
    x = 538,567,103,005,376.19/27,978,234.60
  6. Step 6: Final answer
    x = 19,249,502.72

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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.