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Finding the Fourth Proportional to 161,774.82, 242,668.71 and 78,649.38

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Solution

The fourth proportional to 161,774.82, 242,668.71 and 78,649.38 is: 117,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,774.82 : 242,668.71 = 78,649.38 : x
  2. Step 2: Convert to fraction form
    161,774.82/242,668.71 = 78,649.38/x
  3. Step 3: Cross multiply
    161,774.82x = 242,668.71 × 78,649.38
  4. Step 4: Simplify right side
    161,774.82x = 19,085,743,586.90
  5. Step 5: Solve for x
    x = 19,085,743,586.90/161,774.82
  6. Step 6: Final answer
    x = 117,977.22

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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.