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Finding the Fourth Proportional to 154,077.80, 231,116.70 and 143,709.80

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Solution

The fourth proportional to 154,077.80, 231,116.70 and 143,709.80 is: 215,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,077.80 : 231,116.70 = 143,709.80 : x
  2. Step 2: Convert to fraction form
    154,077.80/231,116.70 = 143,709.80/x
  3. Step 3: Cross multiply
    154,077.80x = 231,116.70 × 143,709.80
  4. Step 4: Simplify right side
    154,077.80x = 33,213,734,733.66
  5. Step 5: Solve for x
    x = 33,213,734,733.66/154,077.80
  6. Step 6: Final answer
    x = 215,564.70

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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.