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Finding the Fourth Proportional to 78,496.76, 117,819.06 and 28,625.06

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Solution

The fourth proportional to 78,496.76, 117,819.06 and 28,625.06 is: 42,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,496.76 : 117,819.06 = 28,625.06 : x
  2. Step 2: Convert to fraction form
    78,496.76/117,819.06 = 28,625.06/x
  3. Step 3: Cross multiply
    78,496.76x = 117,819.06 × 28,625.06
  4. Step 4: Simplify right side
    78,496.76x = 3,372,577,661.64
  5. Step 5: Solve for x
    x = 3,372,577,661.64/78,496.76
  6. Step 6: Final answer
    x = 42,964.55

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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.