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Finding the Fourth Proportional to 68,076, 102,114.72 and 18,828

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Solution

The fourth proportional to 68,076, 102,114.72 and 18,828 is: 28,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,076 : 102,114.72 = 18,828 : x
  2. Step 2: Convert to fraction form
    68,076/102,114.72 = 18,828/x
  3. Step 3: Cross multiply
    68,076x = 102,114.72 × 18,828
  4. Step 4: Simplify right side
    68,076x = 1,922,615,948.16
  5. Step 5: Solve for x
    x = 1,922,615,948.16/68,076
  6. Step 6: Final answer
    x = 28,242.20

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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.