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Finding the Fourth Proportional to 100,656.42, 150,980.31 and 25,778.58

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Solution

The fourth proportional to 100,656.42, 150,980.31 and 25,778.58 is: 38,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,656.42 : 150,980.31 = 25,778.58 : x
  2. Step 2: Convert to fraction form
    100,656.42/150,980.31 = 25,778.58/x
  3. Step 3: Cross multiply
    100,656.42x = 150,980.31 × 25,778.58
  4. Step 4: Simplify right side
    100,656.42x = 3,892,057,999.76
  5. Step 5: Solve for x
    x = 3,892,057,999.76/100,656.42
  6. Step 6: Final answer
    x = 38,666.76

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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.