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Finding the Fourth Proportional to 252,015.36, 377,763.84 and 111,840

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Solution

The fourth proportional to 252,015.36, 377,763.84 and 111,840 is: 167,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,015.36 : 377,763.84 = 111,840 : x
  2. Step 2: Convert to fraction form
    252,015.36/377,763.84 = 111,840/x
  3. Step 3: Cross multiply
    252,015.36x = 377,763.84 × 111,840
  4. Step 4: Simplify right side
    252,015.36x = 42,249,107,865.60
  5. Step 5: Solve for x
    x = 42,249,107,865.60/252,015.36
  6. Step 6: Final answer
    x = 167,644.97

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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.