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Finding the Fourth Proportional to 65,919.69, 98,878.49 and 16,000.20

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Solution

The fourth proportional to 65,919.69, 98,878.49 and 16,000.20 is: 24,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,919.69 : 98,878.49 = 16,000.20 : x
  2. Step 2: Convert to fraction form
    65,919.69/98,878.49 = 16,000.20/x
  3. Step 3: Cross multiply
    65,919.69x = 98,878.49 × 16,000.20
  4. Step 4: Simplify right side
    65,919.69x = 1,582,075,615.70
  5. Step 5: Solve for x
    x = 1,582,075,615.70/65,919.69
  6. Step 6: Final answer
    x = 24,000.05

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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.