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Finding the Fourth Proportional to 68,458.46, 94,602.58 and 49,400.78

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Solution

The fourth proportional to 68,458.46, 94,602.58 and 49,400.78 is: 68,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,458.46 : 94,602.58 = 49,400.78 : x
  2. Step 2: Convert to fraction form
    68,458.46/94,602.58 = 49,400.78/x
  3. Step 3: Cross multiply
    68,458.46x = 94,602.58 × 49,400.78
  4. Step 4: Simplify right side
    68,458.46x = 4,673,441,242.01
  5. Step 5: Solve for x
    x = 4,673,441,242.01/68,458.46
  6. Step 6: Final answer
    x = 68,266.82

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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.