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Finding the Fourth Proportional to 65,748.72, 98,623.80 and 19,002

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Solution

The fourth proportional to 65,748.72, 98,623.80 and 19,002 is: 28,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748.72 : 98,623.80 = 19,002 : x
  2. Step 2: Convert to fraction form
    65,748.72/98,623.80 = 19,002/x
  3. Step 3: Cross multiply
    65,748.72x = 98,623.80 × 19,002
  4. Step 4: Simplify right side
    65,748.72x = 1,874,049,447.60
  5. Step 5: Solve for x
    x = 1,874,049,447.60/65,748.72
  6. Step 6: Final answer
    x = 28,503.21

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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.