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Finding the Fourth Proportional to 68,374.98, 102,292.74 and 51,782.94

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Solution

The fourth proportional to 68,374.98, 102,292.74 and 51,782.94 is: 77,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,374.98 : 102,292.74 = 51,782.94 : x
  2. Step 2: Convert to fraction form
    68,374.98/102,292.74 = 51,782.94/x
  3. Step 3: Cross multiply
    68,374.98x = 102,292.74 × 51,782.94
  4. Step 4: Simplify right side
    68,374.98x = 5,297,018,817.86
  5. Step 5: Solve for x
    x = 5,297,018,817.86/68,374.98
  6. Step 6: Final answer
    x = 77,470.13

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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.