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Finding the Fourth Proportional to 68,390, 102,590.76 and 19,142

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Solution

The fourth proportional to 68,390, 102,590.76 and 19,142 is: 28,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,390 : 102,590.76 = 19,142 : x
  2. Step 2: Convert to fraction form
    68,390/102,590.76 = 19,142/x
  3. Step 3: Cross multiply
    68,390x = 102,590.76 × 19,142
  4. Step 4: Simplify right side
    68,390x = 1,963,792,327.92
  5. Step 5: Solve for x
    x = 1,963,792,327.92/68,390
  6. Step 6: Final answer
    x = 28,714.61

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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.