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Finding the Fourth Proportional to 78,846.80, 118,075.80 and 52,408.40

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Solution

The fourth proportional to 78,846.80, 118,075.80 and 52,408.40 is: 78,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,846.80 : 118,075.80 = 52,408.40 : x
  2. Step 2: Convert to fraction form
    78,846.80/118,075.80 = 52,408.40/x
  3. Step 3: Cross multiply
    78,846.80x = 118,075.80 × 52,408.40
  4. Step 4: Simplify right side
    78,846.80x = 6,188,163,756.72
  5. Step 5: Solve for x
    x = 6,188,163,756.72/78,846.80
  6. Step 6: Final answer
    x = 78,483.38

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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.