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Finding the Fourth Proportional to 68,289.48, 102,428.74 and 23,307

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Solution

The fourth proportional to 68,289.48, 102,428.74 and 23,307 is: 34,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,289.48 : 102,428.74 = 23,307 : x
  2. Step 2: Convert to fraction form
    68,289.48/102,428.74 = 23,307/x
  3. Step 3: Cross multiply
    68,289.48x = 102,428.74 × 23,307
  4. Step 4: Simplify right side
    68,289.48x = 2,387,306,643.18
  5. Step 5: Solve for x
    x = 2,387,306,643.18/68,289.48
  6. Step 6: Final answer
    x = 34,958.63

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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.