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Finding the Fourth Proportional to 78,081.44, 117,118.40 and 25,484

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Solution

The fourth proportional to 78,081.44, 117,118.40 and 25,484 is: 38,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081.44 : 117,118.40 = 25,484 : x
  2. Step 2: Convert to fraction form
    78,081.44/117,118.40 = 25,484/x
  3. Step 3: Cross multiply
    78,081.44x = 117,118.40 × 25,484
  4. Step 4: Simplify right side
    78,081.44x = 2,984,645,305.60
  5. Step 5: Solve for x
    x = 2,984,645,305.60/78,081.44
  6. Step 6: Final answer
    x = 38,224.77

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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.