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Finding the Fourth Proportional to 70,977.83, 106,254.05 and 68,454.34

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Solution

The fourth proportional to 70,977.83, 106,254.05 and 68,454.34 is: 102,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,977.83 : 106,254.05 = 68,454.34 : x
  2. Step 2: Convert to fraction form
    70,977.83/106,254.05 = 68,454.34/x
  3. Step 3: Cross multiply
    70,977.83x = 106,254.05 × 68,454.34
  4. Step 4: Simplify right side
    70,977.83x = 7,273,550,257.17
  5. Step 5: Solve for x
    x = 7,273,550,257.17/70,977.83
  6. Step 6: Final answer
    x = 102,476.38

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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.