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Finding the Fourth Proportional to 162,378.39, 243,401.49 and 82,267.91

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Solution

The fourth proportional to 162,378.39, 243,401.49 and 82,267.91 is: 123,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,378.39 : 243,401.49 = 82,267.91 : x
  2. Step 2: Convert to fraction form
    162,378.39/243,401.49 = 82,267.91/x
  3. Step 3: Cross multiply
    162,378.39x = 243,401.49 × 82,267.91
  4. Step 4: Simplify right side
    162,378.39x = 20,024,130,656.18
  5. Step 5: Solve for x
    x = 20,024,130,656.18/162,378.39
  6. Step 6: Final answer
    x = 123,317.71

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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.