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Finding the Fourth Proportional to 243,415.51, 365,157.83 and 74,949.84

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Solution

The fourth proportional to 243,415.51, 365,157.83 and 74,949.84 is: 112,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,415.51 : 365,157.83 = 74,949.84 : x
  2. Step 2: Convert to fraction form
    243,415.51/365,157.83 = 74,949.84/x
  3. Step 3: Cross multiply
    243,415.51x = 365,157.83 × 74,949.84
  4. Step 4: Simplify right side
    243,415.51x = 27,368,520,933.25
  5. Step 5: Solve for x
    x = 27,368,520,933.25/243,415.51
  6. Step 6: Final answer
    x = 112,435.40

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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.