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Finding the Fourth Proportional to 27,978,235.10, 41,954,911.05 and 12,836,807.90

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Solution

The fourth proportional to 27,978,235.10, 41,954,911.05 and 12,836,807.90 is: 19,249,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978,235.10 : 41,954,911.05 = 12,836,807.90 : x
  2. Step 2: Convert to fraction form
    27,978,235.10/41,954,911.05 = 12,836,807.90/x
  3. Step 3: Cross multiply
    27,978,235.10x = 41,954,911.05 × 12,836,807.90
  4. Step 4: Simplify right side
    27,978,235.10x = 538,567,133,610,437.25
  5. Step 5: Solve for x
    x = 538,567,133,610,437.25/27,978,235.10
  6. Step 6: Final answer
    x = 19,249,503.47

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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.