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Finding the Fourth Proportional to 78,165.60, 117,075.60 and 60,496.80

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Solution

The fourth proportional to 78,165.60, 117,075.60 and 60,496.80 is: 90,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.60 : 117,075.60 = 60,496.80 : x
  2. Step 2: Convert to fraction form
    78,165.60/117,075.60 = 60,496.80/x
  3. Step 3: Cross multiply
    78,165.60x = 117,075.60 × 60,496.80
  4. Step 4: Simplify right side
    78,165.60x = 7,082,699,158.08
  5. Step 5: Solve for x
    x = 7,082,699,158.08/78,165.60
  6. Step 6: Final answer
    x = 90,611.46

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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.