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Finding the Fourth Proportional to 68,129.42, 102,210.54 and 21,382.28

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Solution

The fourth proportional to 68,129.42, 102,210.54 and 21,382.28 is: 32,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,129.42 : 102,210.54 = 21,382.28 : x
  2. Step 2: Convert to fraction form
    68,129.42/102,210.54 = 21,382.28/x
  3. Step 3: Cross multiply
    68,129.42x = 102,210.54 × 21,382.28
  4. Step 4: Simplify right side
    68,129.42x = 2,185,494,385.23
  5. Step 5: Solve for x
    x = 2,185,494,385.23/68,129.42
  6. Step 6: Final answer
    x = 32,078.57

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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.