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Finding the Fourth Proportional to 80,653.40, 120,980.94 and 28,064.60

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Solution

The fourth proportional to 80,653.40, 120,980.94 and 28,064.60 is: 42,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,653.40 : 120,980.94 = 28,064.60 : x
  2. Step 2: Convert to fraction form
    80,653.40/120,980.94 = 28,064.60/x
  3. Step 3: Cross multiply
    80,653.40x = 120,980.94 × 28,064.60
  4. Step 4: Simplify right side
    80,653.40x = 3,395,281,688.72
  5. Step 5: Solve for x
    x = 3,395,281,688.72/80,653.40
  6. Step 6: Final answer
    x = 42,097.19

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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.