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Finding the Fourth Proportional to 196,965.48, 295,448.70 and 78,646.44

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Solution

The fourth proportional to 196,965.48, 295,448.70 and 78,646.44 is: 117,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,965.48 : 295,448.70 = 78,646.44 : x
  2. Step 2: Convert to fraction form
    196,965.48/295,448.70 = 78,646.44/x
  3. Step 3: Cross multiply
    196,965.48x = 295,448.70 × 78,646.44
  4. Step 4: Simplify right side
    196,965.48x = 23,235,988,457.63
  5. Step 5: Solve for x
    x = 23,235,988,457.63/196,965.48
  6. Step 6: Final answer
    x = 117,969.85

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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.