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Finding the Fourth Proportional to 78,491.81, 117,741.79 and 25,905.40

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Solution

The fourth proportional to 78,491.81, 117,741.79 and 25,905.40 is: 38,859.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491.81 : 117,741.79 = 25,905.40 : x
  2. Step 2: Convert to fraction form
    78,491.81/117,741.79 = 25,905.40/x
  3. Step 3: Cross multiply
    78,491.81x = 117,741.79 × 25,905.40
  4. Step 4: Simplify right side
    78,491.81x = 3,050,147,577.96
  5. Step 5: Solve for x
    x = 3,050,147,577.96/78,491.81
  6. Step 6: Final answer
    x = 38,859.44

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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.