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Finding the Fourth Proportional to 68,024.15, 102,054.86 and 20,640.77

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Solution

The fourth proportional to 68,024.15, 102,054.86 and 20,640.77 is: 30,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,024.15 : 102,054.86 = 20,640.77 : x
  2. Step 2: Convert to fraction form
    68,024.15/102,054.86 = 20,640.77/x
  3. Step 3: Cross multiply
    68,024.15x = 102,054.86 × 20,640.77
  4. Step 4: Simplify right side
    68,024.15x = 2,106,490,892.64
  5. Step 5: Solve for x
    x = 2,106,490,892.64/68,024.15
  6. Step 6: Final answer
    x = 30,966.81

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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.