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Finding the Fourth Proportional to 130,657.20, 195,694.20 and 100,978.80

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Solution

The fourth proportional to 130,657.20, 195,694.20 and 100,978.80 is: 151,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,657.20 : 195,694.20 = 100,978.80 : x
  2. Step 2: Convert to fraction form
    130,657.20/195,694.20 = 100,978.80/x
  3. Step 3: Cross multiply
    130,657.20x = 195,694.20 × 100,978.80
  4. Step 4: Simplify right side
    130,657.20x = 19,760,965,482.96
  5. Step 5: Solve for x
    x = 19,760,965,482.96/130,657.20
  6. Step 6: Final answer
    x = 151,242.84

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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.