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Finding the Fourth Proportional to 68,690.98, 102,859.02 and 47,409.38

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Solution

The fourth proportional to 68,690.98, 102,859.02 and 47,409.38 is: 70,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,690.98 : 102,859.02 = 47,409.38 : x
  2. Step 2: Convert to fraction form
    68,690.98/102,859.02 = 47,409.38/x
  3. Step 3: Cross multiply
    68,690.98x = 102,859.02 × 47,409.38
  4. Step 4: Simplify right side
    68,690.98x = 4,876,482,365.61
  5. Step 5: Solve for x
    x = 4,876,482,365.61/68,690.98
  6. Step 6: Final answer
    x = 70,991.60

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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.