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Finding the Fourth Proportional to 161,776.80, 242,672.40 and 61,984.80

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Solution

The fourth proportional to 161,776.80, 242,672.40 and 61,984.80 is: 92,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,776.80 : 242,672.40 = 61,984.80 : x
  2. Step 2: Convert to fraction form
    161,776.80/242,672.40 = 61,984.80/x
  3. Step 3: Cross multiply
    161,776.80x = 242,672.40 × 61,984.80
  4. Step 4: Simplify right side
    161,776.80x = 15,042,000,179.52
  5. Step 5: Solve for x
    x = 15,042,000,179.52/161,776.80
  6. Step 6: Final answer
    x = 92,979.96

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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.