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Finding the Fourth Proportional to 80,828.94, 121,055.40 and 78,025.80

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Solution

The fourth proportional to 80,828.94, 121,055.40 and 78,025.80 is: 116,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,828.94 : 121,055.40 = 78,025.80 : x
  2. Step 2: Convert to fraction form
    80,828.94/121,055.40 = 78,025.80/x
  3. Step 3: Cross multiply
    80,828.94x = 121,055.40 × 78,025.80
  4. Step 4: Simplify right side
    80,828.94x = 9,445,444,429.32
  5. Step 5: Solve for x
    x = 9,445,444,429.32/80,828.94
  6. Step 6: Final answer
    x = 116,857.21

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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.