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Finding the Fourth Proportional to 78,370.94, 108,152.78 and 42,561.44

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Solution

The fourth proportional to 78,370.94, 108,152.78 and 42,561.44 is: 58,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.94 : 108,152.78 = 42,561.44 : x
  2. Step 2: Convert to fraction form
    78,370.94/108,152.78 = 42,561.44/x
  3. Step 3: Cross multiply
    78,370.94x = 108,152.78 × 42,561.44
  4. Step 4: Simplify right side
    78,370.94x = 4,603,137,303.23
  5. Step 5: Solve for x
    x = 4,603,137,303.23/78,370.94
  6. Step 6: Final answer
    x = 58,735.26

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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.