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Finding the Fourth Proportional to 68,307.30, 102,380.56 and 30,823.54

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Solution

The fourth proportional to 68,307.30, 102,380.56 and 30,823.54 is: 46,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,307.30 : 102,380.56 = 30,823.54 : x
  2. Step 2: Convert to fraction form
    68,307.30/102,380.56 = 30,823.54/x
  3. Step 3: Cross multiply
    68,307.30x = 102,380.56 × 30,823.54
  4. Step 4: Simplify right side
    68,307.30x = 3,155,730,953.37
  5. Step 5: Solve for x
    x = 3,155,730,953.37/68,307.30
  6. Step 6: Final answer
    x = 46,199.03

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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.