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Finding the Fourth Proportional to 252,007.40, 378,068.51 and 74,507.75

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Solution

The fourth proportional to 252,007.40, 378,068.51 and 74,507.75 is: 111,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,007.40 : 378,068.51 = 74,507.75 : x
  2. Step 2: Convert to fraction form
    252,007.40/378,068.51 = 74,507.75/x
  3. Step 3: Cross multiply
    252,007.40x = 378,068.51 × 74,507.75
  4. Step 4: Simplify right side
    252,007.40x = 28,169,033,739.64
  5. Step 5: Solve for x
    x = 28,169,033,739.64/252,007.40
  6. Step 6: Final answer
    x = 111,778.60

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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.