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Finding the Fourth Proportional to 49,860, 68,815.62 and 29,728.50

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Solution

The fourth proportional to 49,860, 68,815.62 and 29,728.50 is: 41,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,860 : 68,815.62 = 29,728.50 : x
  2. Step 2: Convert to fraction form
    49,860/68,815.62 = 29,728.50/x
  3. Step 3: Cross multiply
    49,860x = 68,815.62 × 29,728.50
  4. Step 4: Simplify right side
    49,860x = 2,045,785,159.17
  5. Step 5: Solve for x
    x = 2,045,785,159.17/49,860
  6. Step 6: Final answer
    x = 41,030.59

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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.