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Finding the Fourth Proportional to 80,473.76, 120,683.30 and 27,870.95

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Solution

The fourth proportional to 80,473.76, 120,683.30 and 27,870.95 is: 41,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473.76 : 120,683.30 = 27,870.95 : x
  2. Step 2: Convert to fraction form
    80,473.76/120,683.30 = 27,870.95/x
  3. Step 3: Cross multiply
    80,473.76x = 120,683.30 × 27,870.95
  4. Step 4: Simplify right side
    80,473.76x = 3,363,557,477.36
  5. Step 5: Solve for x
    x = 3,363,557,477.36/80,473.76
  6. Step 6: Final answer
    x = 41,796.95

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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.