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Finding the Fourth Proportional to 162,190.35, 243,329.91 and 78,020.91

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Solution

The fourth proportional to 162,190.35, 243,329.91 and 78,020.91 is: 117,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,190.35 : 243,329.91 = 78,020.91 : x
  2. Step 2: Convert to fraction form
    162,190.35/243,329.91 = 78,020.91/x
  3. Step 3: Cross multiply
    162,190.35x = 243,329.91 × 78,020.91
  4. Step 4: Simplify right side
    162,190.35x = 18,984,821,008.42
  5. Step 5: Solve for x
    x = 18,984,821,008.42/162,190.35
  6. Step 6: Final answer
    x = 117,052.72

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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.