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Finding the Fourth Proportional to 80,071.16, 120,208.80 and 65,308.88

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Solution

The fourth proportional to 80,071.16, 120,208.80 and 65,308.88 is: 98,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,071.16 : 120,208.80 = 65,308.88 : x
  2. Step 2: Convert to fraction form
    80,071.16/120,208.80 = 65,308.88/x
  3. Step 3: Cross multiply
    80,071.16x = 120,208.80 × 65,308.88
  4. Step 4: Simplify right side
    80,071.16x = 7,850,702,094.14
  5. Step 5: Solve for x
    x = 7,850,702,094.14/80,071.16
  6. Step 6: Final answer
    x = 98,046.56

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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.