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Finding the Fourth Proportional to 65,406, 98,109.94 and 18,658.88

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Solution

The fourth proportional to 65,406, 98,109.94 and 18,658.88 is: 27,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406 : 98,109.94 = 18,658.88 : x
  2. Step 2: Convert to fraction form
    65,406/98,109.94 = 18,658.88/x
  3. Step 3: Cross multiply
    65,406x = 98,109.94 × 18,658.88
  4. Step 4: Simplify right side
    65,406x = 1,830,621,597.27
  5. Step 5: Solve for x
    x = 1,830,621,597.27/65,406
  6. Step 6: Final answer
    x = 27,988.59

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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.