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Finding the Fourth Proportional to 65,402, 98,103.94 and 18,654.90

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Solution

The fourth proportional to 65,402, 98,103.94 and 18,654.90 is: 27,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 98,103.94 = 18,654.90 : x
  2. Step 2: Convert to fraction form
    65,402/98,103.94 = 18,654.90/x
  3. Step 3: Cross multiply
    65,402x = 98,103.94 × 18,654.90
  4. Step 4: Simplify right side
    65,402x = 1,830,119,190.31
  5. Step 5: Solve for x
    x = 1,830,119,190.31/65,402
  6. Step 6: Final answer
    x = 27,982.62

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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.