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Finding the Fourth Proportional to 78,819.40, 108,768.72 and 43,009.84

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Solution

The fourth proportional to 78,819.40, 108,768.72 and 43,009.84 is: 59,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,819.40 : 108,768.72 = 43,009.84 : x
  2. Step 2: Convert to fraction form
    78,819.40/108,768.72 = 43,009.84/x
  3. Step 3: Cross multiply
    78,819.40x = 108,768.72 × 43,009.84
  4. Step 4: Simplify right side
    78,819.40x = 4,678,125,244.20
  5. Step 5: Solve for x
    x = 4,678,125,244.20/78,819.40
  6. Step 6: Final answer
    x = 59,352.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.