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Finding the Fourth Proportional to 49,807.71, 68,729.11 and 29,661.80

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Solution

The fourth proportional to 49,807.71, 68,729.11 and 29,661.80 is: 40,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,807.71 : 68,729.11 = 29,661.80 : x
  2. Step 2: Convert to fraction form
    49,807.71/68,729.11 = 29,661.80/x
  3. Step 3: Cross multiply
    49,807.71x = 68,729.11 × 29,661.80
  4. Step 4: Simplify right side
    49,807.71x = 2,038,628,697.20
  5. Step 5: Solve for x
    x = 2,038,628,697.20/49,807.71
  6. Step 6: Final answer
    x = 40,929.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.