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Finding the Fourth Proportional to 145,814.64, 218,817 and 110,200.56

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Solution

The fourth proportional to 145,814.64, 218,817 and 110,200.56 is: 165,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,814.64 : 218,817 = 110,200.56 : x
  2. Step 2: Convert to fraction form
    145,814.64/218,817 = 110,200.56/x
  3. Step 3: Cross multiply
    145,814.64x = 218,817 × 110,200.56
  4. Step 4: Simplify right side
    145,814.64x = 24,113,755,937.52
  5. Step 5: Solve for x
    x = 24,113,755,937.52/145,814.64
  6. Step 6: Final answer
    x = 165,372.67

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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.