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Finding the Fourth Proportional to 81,470.80, 122,303.40 and 45,960.40

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Solution

The fourth proportional to 81,470.80, 122,303.40 and 45,960.40 is: 68,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470.80 : 122,303.40 = 45,960.40 : x
  2. Step 2: Convert to fraction form
    81,470.80/122,303.40 = 45,960.40/x
  3. Step 3: Cross multiply
    81,470.80x = 122,303.40 × 45,960.40
  4. Step 4: Simplify right side
    81,470.80x = 5,621,113,185.36
  5. Step 5: Solve for x
    x = 5,621,113,185.36/81,470.80
  6. Step 6: Final answer
    x = 68,995.43

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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.