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Finding the Fourth Proportional to 65,401.13, 98,102.64 and 18,654

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Solution

The fourth proportional to 65,401.13, 98,102.64 and 18,654 is: 27,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,401.13 : 98,102.64 = 18,654 : x
  2. Step 2: Convert to fraction form
    65,401.13/98,102.64 = 18,654/x
  3. Step 3: Cross multiply
    65,401.13x = 98,102.64 × 18,654
  4. Step 4: Simplify right side
    65,401.13x = 1,830,006,646.56
  5. Step 5: Solve for x
    x = 1,830,006,646.56/65,401.13
  6. Step 6: Final answer
    x = 27,981.27

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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.