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Finding the Fourth Proportional to 143,897.46, 215,723.07 and 55,214.61

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Solution

The fourth proportional to 143,897.46, 215,723.07 and 55,214.61 is: 82,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,897.46 : 215,723.07 = 55,214.61 : x
  2. Step 2: Convert to fraction form
    143,897.46/215,723.07 = 55,214.61/x
  3. Step 3: Cross multiply
    143,897.46x = 215,723.07 × 55,214.61
  4. Step 4: Simplify right side
    143,897.46x = 11,911,065,178.05
  5. Step 5: Solve for x
    x = 11,911,065,178.05/143,897.46
  6. Step 6: Final answer
    x = 82,774.67

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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.