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Finding the Fourth Proportional to 65,109.89, 97,668.65 and 25,129.09

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Solution

The fourth proportional to 65,109.89, 97,668.65 and 25,129.09 is: 37,695.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.89 : 97,668.65 = 25,129.09 : x
  2. Step 2: Convert to fraction form
    65,109.89/97,668.65 = 25,129.09/x
  3. Step 3: Cross multiply
    65,109.89x = 97,668.65 × 25,129.09
  4. Step 4: Simplify right side
    65,109.89x = 2,454,323,682.04
  5. Step 5: Solve for x
    x = 2,454,323,682.04/65,109.89
  6. Step 6: Final answer
    x = 37,695.10

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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.