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Finding the Fourth Proportional to 68,071.66, 102,114.78 and 20,686.66

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Solution

The fourth proportional to 68,071.66, 102,114.78 and 20,686.66 is: 31,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,071.66 : 102,114.78 = 20,686.66 : x
  2. Step 2: Convert to fraction form
    68,071.66/102,114.78 = 20,686.66/x
  3. Step 3: Cross multiply
    68,071.66x = 102,114.78 × 20,686.66
  4. Step 4: Simplify right side
    68,071.66x = 2,112,413,734.83
  5. Step 5: Solve for x
    x = 2,112,413,734.83/68,071.66
  6. Step 6: Final answer
    x = 31,032.21

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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.