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Finding the Fourth Proportional to 65,126.40, 97,645.80 and 25,663.20

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Solution

The fourth proportional to 65,126.40, 97,645.80 and 25,663.20 is: 38,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,126.40 : 97,645.80 = 25,663.20 : x
  2. Step 2: Convert to fraction form
    65,126.40/97,645.80 = 25,663.20/x
  3. Step 3: Cross multiply
    65,126.40x = 97,645.80 × 25,663.20
  4. Step 4: Simplify right side
    65,126.40x = 2,505,903,694.56
  5. Step 5: Solve for x
    x = 2,505,903,694.56/65,126.40
  6. Step 6: Final answer
    x = 38,477.54

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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.