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Finding the Fourth Proportional to 65,498.64, 98,165.70 and 28,014.60

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Solution

The fourth proportional to 65,498.64, 98,165.70 and 28,014.60 is: 41,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.64 : 98,165.70 = 28,014.60 : x
  2. Step 2: Convert to fraction form
    65,498.64/98,165.70 = 28,014.60/x
  3. Step 3: Cross multiply
    65,498.64x = 98,165.70 × 28,014.60
  4. Step 4: Simplify right side
    65,498.64x = 2,750,072,819.22
  5. Step 5: Solve for x
    x = 2,750,072,819.22/65,498.64
  6. Step 6: Final answer
    x = 41,986.72

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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.