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Finding the Fourth Proportional to 102,195.64, 153,241.93 and 31,104.64

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Solution

The fourth proportional to 102,195.64, 153,241.93 and 31,104.64 is: 46,641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,195.64 : 153,241.93 = 31,104.64 : x
  2. Step 2: Convert to fraction form
    102,195.64/153,241.93 = 31,104.64/x
  3. Step 3: Cross multiply
    102,195.64x = 153,241.93 × 31,104.64
  4. Step 4: Simplify right side
    102,195.64x = 4,766,535,065.56
  5. Step 5: Solve for x
    x = 4,766,535,065.56/102,195.64
  6. Step 6: Final answer
    x = 46,641.28

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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.