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Finding the Fourth Proportional to 162,665.28, 243,899.04 and 67,780.80

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Solution

The fourth proportional to 162,665.28, 243,899.04 and 67,780.80 is: 101,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,665.28 : 243,899.04 = 67,780.80 : x
  2. Step 2: Convert to fraction form
    162,665.28/243,899.04 = 67,780.80/x
  3. Step 3: Cross multiply
    162,665.28x = 243,899.04 × 67,780.80
  4. Step 4: Simplify right side
    162,665.28x = 16,531,672,050.43
  5. Step 5: Solve for x
    x = 16,531,672,050.43/162,665.28
  6. Step 6: Final answer
    x = 101,630.00

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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.