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Finding the Fourth Proportional to 131,012.80, 196,544.80 and 52,113.60

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Solution

The fourth proportional to 131,012.80, 196,544.80 and 52,113.60 is: 78,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,012.80 : 196,544.80 = 52,113.60 : x
  2. Step 2: Convert to fraction form
    131,012.80/196,544.80 = 52,113.60/x
  3. Step 3: Cross multiply
    131,012.80x = 196,544.80 × 52,113.60
  4. Step 4: Simplify right side
    131,012.80x = 10,242,657,089.28
  5. Step 5: Solve for x
    x = 10,242,657,089.28/131,012.80
  6. Step 6: Final answer
    x = 78,180.58

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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.