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Finding the Fourth Proportional to 78,770.44, 108,703.21 and 42,960.45

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Solution

The fourth proportional to 78,770.44, 108,703.21 and 42,960.45 is: 59,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770.44 : 108,703.21 = 42,960.45 : x
  2. Step 2: Convert to fraction form
    78,770.44/108,703.21 = 42,960.45/x
  3. Step 3: Cross multiply
    78,770.44x = 108,703.21 × 42,960.45
  4. Step 4: Simplify right side
    78,770.44x = 4,669,939,342.77
  5. Step 5: Solve for x
    x = 4,669,939,342.77/78,770.44
  6. Step 6: Final answer
    x = 59,285.43

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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.