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Finding the Fourth Proportional to 68,490, 102,657.78 and 51,795.90

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Solution

The fourth proportional to 68,490, 102,657.78 and 51,795.90 is: 77,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,490 : 102,657.78 = 51,795.90 : x
  2. Step 2: Convert to fraction form
    68,490/102,657.78 = 51,795.90/x
  3. Step 3: Cross multiply
    68,490x = 102,657.78 × 51,795.90
  4. Step 4: Simplify right side
    68,490x = 5,317,252,107.10
  5. Step 5: Solve for x
    x = 5,317,252,107.10/68,490
  6. Step 6: Final answer
    x = 77,635.45

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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.