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Finding the Fourth Proportional to 78,638.72, 117,852.87 and 28,671.80

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Solution

The fourth proportional to 78,638.72, 117,852.87 and 28,671.80 is: 42,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,638.72 : 117,852.87 = 28,671.80 : x
  2. Step 2: Convert to fraction form
    78,638.72/117,852.87 = 28,671.80/x
  3. Step 3: Cross multiply
    78,638.72x = 117,852.87 × 28,671.80
  4. Step 4: Simplify right side
    78,638.72x = 3,379,053,918.07
  5. Step 5: Solve for x
    x = 3,379,053,918.07/78,638.72
  6. Step 6: Final answer
    x = 42,969.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.