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Finding the Fourth Proportional to 65,478.35, 98,218.15 and 35,880.03

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Solution

The fourth proportional to 65,478.35, 98,218.15 and 35,880.03 is: 53,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,478.35 : 98,218.15 = 35,880.03 : x
  2. Step 2: Convert to fraction form
    65,478.35/98,218.15 = 35,880.03/x
  3. Step 3: Cross multiply
    65,478.35x = 98,218.15 × 35,880.03
  4. Step 4: Simplify right side
    65,478.35x = 3,524,070,078.84
  5. Step 5: Solve for x
    x = 3,524,070,078.84/65,478.35
  6. Step 6: Final answer
    x = 53,820.38

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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.