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Finding the Fourth Proportional to 145,412.46, 218,235.33 and 75,311.82

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Solution

The fourth proportional to 145,412.46, 218,235.33 and 75,311.82 is: 113,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.46 : 218,235.33 = 75,311.82 : x
  2. Step 2: Convert to fraction form
    145,412.46/218,235.33 = 75,311.82/x
  3. Step 3: Cross multiply
    145,412.46x = 218,235.33 × 75,311.82
  4. Step 4: Simplify right side
    145,412.46x = 16,435,699,890.60
  5. Step 5: Solve for x
    x = 16,435,699,890.60/145,412.46
  6. Step 6: Final answer
    x = 113,028.14

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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.