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Finding the Fourth Proportional to 128,144.94, 176,923.16 and 114,692.88

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Solution

The fourth proportional to 128,144.94, 176,923.16 and 114,692.88 is: 158,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,144.94 : 176,923.16 = 114,692.88 : x
  2. Step 2: Convert to fraction form
    128,144.94/176,923.16 = 114,692.88/x
  3. Step 3: Cross multiply
    128,144.94x = 176,923.16 × 114,692.88
  4. Step 4: Simplify right side
    128,144.94x = 20,291,826,759.10
  5. Step 5: Solve for x
    x = 20,291,826,759.10/128,144.94
  6. Step 6: Final answer
    x = 158,350.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.