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Finding the Fourth Proportional to 65,402, 98,103.93 and 18,654.89

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Solution

The fourth proportional to 65,402, 98,103.93 and 18,654.89 is: 27,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 98,103.93 = 18,654.89 : x
  2. Step 2: Convert to fraction form
    65,402/98,103.93 = 18,654.89/x
  3. Step 3: Cross multiply
    65,402x = 98,103.93 × 18,654.89
  4. Step 4: Simplify right side
    65,402x = 1,830,118,022.72
  5. Step 5: Solve for x
    x = 1,830,118,022.72/65,402
  6. Step 6: Final answer
    x = 27,982.60

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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.