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Finding the Fourth Proportional to 81,648.50, 122,493.23 and 23,280.50

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Solution

The fourth proportional to 81,648.50, 122,493.23 and 23,280.50 is: 34,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648.50 : 122,493.23 = 23,280.50 : x
  2. Step 2: Convert to fraction form
    81,648.50/122,493.23 = 23,280.50/x
  3. Step 3: Cross multiply
    81,648.50x = 122,493.23 × 23,280.50
  4. Step 4: Simplify right side
    81,648.50x = 2,851,703,641.02
  5. Step 5: Solve for x
    x = 2,851,703,641.02/81,648.50
  6. Step 6: Final answer
    x = 34,926.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.