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Finding the Fourth Proportional to 145,419.80, 218,129.70 and 110,168.60

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Solution

The fourth proportional to 145,419.80, 218,129.70 and 110,168.60 is: 165,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419.80 : 218,129.70 = 110,168.60 : x
  2. Step 2: Convert to fraction form
    145,419.80/218,129.70 = 110,168.60/x
  3. Step 3: Cross multiply
    145,419.80x = 218,129.70 × 110,168.60
  4. Step 4: Simplify right side
    145,419.80x = 24,031,043,667.42
  5. Step 5: Solve for x
    x = 24,031,043,667.42/145,419.80
  6. Step 6: Final answer
    x = 165,252.90

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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.