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Finding the Fourth Proportional to 65,740.36, 98,680.76 and 28,319

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Solution

The fourth proportional to 65,740.36, 98,680.76 and 28,319 is: 42,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740.36 : 98,680.76 = 28,319 : x
  2. Step 2: Convert to fraction form
    65,740.36/98,680.76 = 28,319/x
  3. Step 3: Cross multiply
    65,740.36x = 98,680.76 × 28,319
  4. Step 4: Simplify right side
    65,740.36x = 2,794,540,442.44
  5. Step 5: Solve for x
    x = 2,794,540,442.44/65,740.36
  6. Step 6: Final answer
    x = 42,508.75

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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.