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Finding the Fourth Proportional to 65,349.34, 98,021.98 and 18,602.21

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Solution

The fourth proportional to 65,349.34, 98,021.98 and 18,602.21 is: 27,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.34 : 98,021.98 = 18,602.21 : x
  2. Step 2: Convert to fraction form
    65,349.34/98,021.98 = 18,602.21/x
  3. Step 3: Cross multiply
    65,349.34x = 98,021.98 × 18,602.21
  4. Step 4: Simplify right side
    65,349.34x = 1,823,425,724.88
  5. Step 5: Solve for x
    x = 1,823,425,724.88/65,349.34
  6. Step 6: Final answer
    x = 27,902.74

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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.