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Finding the Fourth Proportional to 65,746.72, 98,620.80 and 19,000

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Solution

The fourth proportional to 65,746.72, 98,620.80 and 19,000 is: 28,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,746.72 : 98,620.80 = 19,000 : x
  2. Step 2: Convert to fraction form
    65,746.72/98,620.80 = 19,000/x
  3. Step 3: Cross multiply
    65,746.72x = 98,620.80 × 19,000
  4. Step 4: Simplify right side
    65,746.72x = 1,873,795,200
  5. Step 5: Solve for x
    x = 1,873,795,200/65,746.72
  6. Step 6: Final answer
    x = 28,500.21

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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.