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Finding the Fourth Proportional to 81,394.98, 122,280.18 and 78,032.01

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Solution

The fourth proportional to 81,394.98, 122,280.18 and 78,032.01 is: 117,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.98 : 122,280.18 = 78,032.01 : x
  2. Step 2: Convert to fraction form
    81,394.98/122,280.18 = 78,032.01/x
  3. Step 3: Cross multiply
    81,394.98x = 122,280.18 × 78,032.01
  4. Step 4: Simplify right side
    81,394.98x = 9,541,768,145.60
  5. Step 5: Solve for x
    x = 9,541,768,145.60/81,394.98
  6. Step 6: Final answer
    x = 117,227.97

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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.