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Finding the Fourth Proportional to 118,296, 163,276.20 and 78,017.04

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Solution

The fourth proportional to 118,296, 163,276.20 and 78,017.04 is: 107,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,296 : 163,276.20 = 78,017.04 : x
  2. Step 2: Convert to fraction form
    118,296/163,276.20 = 78,017.04/x
  3. Step 3: Cross multiply
    118,296x = 163,276.20 × 78,017.04
  4. Step 4: Simplify right side
    118,296x = 12,738,325,826.45
  5. Step 5: Solve for x
    x = 12,738,325,826.45/118,296
  6. Step 6: Final answer
    x = 107,681.80

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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.