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Finding the Fourth Proportional to 78,075.84, 117,132.44 and 25,485.44

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Solution

The fourth proportional to 78,075.84, 117,132.44 and 25,485.44 is: 38,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075.84 : 117,132.44 = 25,485.44 : x
  2. Step 2: Convert to fraction form
    78,075.84/117,132.44 = 25,485.44/x
  3. Step 3: Cross multiply
    78,075.84x = 117,132.44 × 25,485.44
  4. Step 4: Simplify right side
    78,075.84x = 2,985,171,771.67
  5. Step 5: Solve for x
    x = 2,985,171,771.67/78,075.84
  6. Step 6: Final answer
    x = 38,234.26

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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.