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Finding the Fourth Proportional to 121,595.44, 182,457.38 and 86,284.94

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Solution

The fourth proportional to 121,595.44, 182,457.38 and 86,284.94 is: 129,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,595.44 : 182,457.38 = 86,284.94 : x
  2. Step 2: Convert to fraction form
    121,595.44/182,457.38 = 86,284.94/x
  3. Step 3: Cross multiply
    121,595.44x = 182,457.38 × 86,284.94
  4. Step 4: Simplify right side
    121,595.44x = 15,743,324,085.86
  5. Step 5: Solve for x
    x = 15,743,324,085.86/121,595.44
  6. Step 6: Final answer
    x = 129,472.98

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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.