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Finding the Fourth Proportional to 100,612.96, 150,779.26 and 75,623.86

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Solution

The fourth proportional to 100,612.96, 150,779.26 and 75,623.86 is: 113,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,612.96 : 150,779.26 = 75,623.86 : x
  2. Step 2: Convert to fraction form
    100,612.96/150,779.26 = 75,623.86/x
  3. Step 3: Cross multiply
    100,612.96x = 150,779.26 × 75,623.86
  4. Step 4: Simplify right side
    100,612.96x = 11,402,509,649.14
  5. Step 5: Solve for x
    x = 11,402,509,649.14/100,612.96
  6. Step 6: Final answer
    x = 113,330.43

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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.