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Finding the Fourth Proportional to 78,828.70, 108,783.92 and 43,019.50

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Solution

The fourth proportional to 78,828.70, 108,783.92 and 43,019.50 is: 59,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828.70 : 108,783.92 = 43,019.50 : x
  2. Step 2: Convert to fraction form
    78,828.70/108,783.92 = 43,019.50/x
  3. Step 3: Cross multiply
    78,828.70x = 108,783.92 × 43,019.50
  4. Step 4: Simplify right side
    78,828.70x = 4,679,829,846.44
  5. Step 5: Solve for x
    x = 4,679,829,846.44/78,828.70
  6. Step 6: Final answer
    x = 59,367.08

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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.