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Finding the Fourth Proportional to 161,776.32, 242,670.96 and 78,650.88

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Solution

The fourth proportional to 161,776.32, 242,670.96 and 78,650.88 is: 117,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,776.32 : 242,670.96 = 78,650.88 : x
  2. Step 2: Convert to fraction form
    161,776.32/242,670.96 = 78,650.88/x
  3. Step 3: Cross multiply
    161,776.32x = 242,670.96 × 78,650.88
  4. Step 4: Simplify right side
    161,776.32x = 19,086,284,554.44
  5. Step 5: Solve for x
    x = 19,086,284,554.44/161,776.32
  6. Step 6: Final answer
    x = 117,979.47

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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.