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Finding the Fourth Proportional to 81,854.40, 122,810.40 and 40,273.60

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Solution

The fourth proportional to 81,854.40, 122,810.40 and 40,273.60 is: 60,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,854.40 : 122,810.40 = 40,273.60 : x
  2. Step 2: Convert to fraction form
    81,854.40/122,810.40 = 40,273.60/x
  3. Step 3: Cross multiply
    81,854.40x = 122,810.40 × 40,273.60
  4. Step 4: Simplify right side
    81,854.40x = 4,946,016,925.44
  5. Step 5: Solve for x
    x = 4,946,016,925.44/81,854.40
  6. Step 6: Final answer
    x = 60,424.57

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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.