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Finding the Fourth Proportional to 180,042, 248,457.96 and 100,554

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Solution

The fourth proportional to 180,042, 248,457.96 and 100,554 is: 138,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042 : 248,457.96 = 100,554 : x
  2. Step 2: Convert to fraction form
    180,042/248,457.96 = 100,554/x
  3. Step 3: Cross multiply
    180,042x = 248,457.96 × 100,554
  4. Step 4: Simplify right side
    180,042x = 24,983,441,709.84
  5. Step 5: Solve for x
    x = 24,983,441,709.84/180,042
  6. Step 6: Final answer
    x = 138,764.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.