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Finding the Fourth Proportional to 196,457.84, 294,822.84 and 78,116.96

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Solution

The fourth proportional to 196,457.84, 294,822.84 and 78,116.96 is: 117,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,457.84 : 294,822.84 = 78,116.96 : x
  2. Step 2: Convert to fraction form
    196,457.84/294,822.84 = 78,116.96/x
  3. Step 3: Cross multiply
    196,457.84x = 294,822.84 × 78,116.96
  4. Step 4: Simplify right side
    196,457.84x = 23,030,663,999.37
  5. Step 5: Solve for x
    x = 23,030,663,999.37/196,457.84
  6. Step 6: Final answer
    x = 117,229.55

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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.