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Finding the Fourth Proportional to 145,604.34, 218,421.42 and 55,722.66

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Solution

The fourth proportional to 145,604.34, 218,421.42 and 55,722.66 is: 83,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,604.34 : 218,421.42 = 55,722.66 : x
  2. Step 2: Convert to fraction form
    145,604.34/218,421.42 = 55,722.66/x
  3. Step 3: Cross multiply
    145,604.34x = 218,421.42 × 55,722.66
  4. Step 4: Simplify right side
    145,604.34x = 12,171,021,704.30
  5. Step 5: Solve for x
    x = 12,171,021,704.30/145,604.34
  6. Step 6: Final answer
    x = 83,589.69

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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.