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Finding the Fourth Proportional to 78,713.62, 118,039.11 and 28,782.34

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Solution

The fourth proportional to 78,713.62, 118,039.11 and 28,782.34 is: 43,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,713.62 : 118,039.11 = 28,782.34 : x
  2. Step 2: Convert to fraction form
    78,713.62/118,039.11 = 28,782.34/x
  3. Step 3: Cross multiply
    78,713.62x = 118,039.11 × 28,782.34
  4. Step 4: Simplify right side
    78,713.62x = 3,397,441,797.32
  5. Step 5: Solve for x
    x = 3,397,441,797.32/78,713.62
  6. Step 6: Final answer
    x = 43,162.06

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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.