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Finding the Fourth Proportional to 162,120.40, 243,065.40 and 73,416.40

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Solution

The fourth proportional to 162,120.40, 243,065.40 and 73,416.40 is: 110,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,120.40 : 243,065.40 = 73,416.40 : x
  2. Step 2: Convert to fraction form
    162,120.40/243,065.40 = 73,416.40/x
  3. Step 3: Cross multiply
    162,120.40x = 243,065.40 × 73,416.40
  4. Step 4: Simplify right side
    162,120.40x = 17,844,986,632.56
  5. Step 5: Solve for x
    x = 17,844,986,632.56/162,120.40
  6. Step 6: Final answer
    x = 110,072.43

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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.