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Finding the Fourth Proportional to 253,400.80, 380,052.60 and 75,913.60

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Solution

The fourth proportional to 253,400.80, 380,052.60 and 75,913.60 is: 113,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,400.80 : 380,052.60 = 75,913.60 : x
  2. Step 2: Convert to fraction form
    253,400.80/380,052.60 = 75,913.60/x
  3. Step 3: Cross multiply
    253,400.80x = 380,052.60 × 75,913.60
  4. Step 4: Simplify right side
    253,400.80x = 28,851,161,055.36
  5. Step 5: Solve for x
    x = 28,851,161,055.36/253,400.80
  6. Step 6: Final answer
    x = 113,855.84

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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.