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Finding the Fourth Proportional to 78,369.70, 108,149.21 and 42,559.96

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Solution

The fourth proportional to 78,369.70, 108,149.21 and 42,559.96 is: 58,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,369.70 : 108,149.21 = 42,559.96 : x
  2. Step 2: Convert to fraction form
    78,369.70/108,149.21 = 42,559.96/x
  3. Step 3: Cross multiply
    78,369.70x = 108,149.21 × 42,559.96
  4. Step 4: Simplify right side
    78,369.70x = 4,602,825,838.83
  5. Step 5: Solve for x
    x = 4,602,825,838.83/78,369.70
  6. Step 6: Final answer
    x = 58,732.22

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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.