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Finding the Fourth Proportional to 162,768.61, 243,956.08 and 83,839.78

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Solution

The fourth proportional to 162,768.61, 243,956.08 and 83,839.78 is: 125,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,768.61 : 243,956.08 = 83,839.78 : x
  2. Step 2: Convert to fraction form
    162,768.61/243,956.08 = 83,839.78/x
  3. Step 3: Cross multiply
    162,768.61x = 243,956.08 × 83,839.78
  4. Step 4: Simplify right side
    162,768.61x = 20,453,224,076.86
  5. Step 5: Solve for x
    x = 20,453,224,076.86/162,768.61
  6. Step 6: Final answer
    x = 125,658.28

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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.