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Finding the Fourth Proportional to 252,698.79, 378,825.03 and 103,064.25

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Solution

The fourth proportional to 252,698.79, 378,825.03 and 103,064.25 is: 154,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,698.79 : 378,825.03 = 103,064.25 : x
  2. Step 2: Convert to fraction form
    252,698.79/378,825.03 = 103,064.25/x
  3. Step 3: Cross multiply
    252,698.79x = 378,825.03 × 103,064.25
  4. Step 4: Simplify right side
    252,698.79x = 39,043,317,598.18
  5. Step 5: Solve for x
    x = 39,043,317,598.18/252,698.79
  6. Step 6: Final answer
    x = 154,505.36

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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.