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Finding the Fourth Proportional to 196,612.60, 294,991.80 and 78,368.80

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Solution

The fourth proportional to 196,612.60, 294,991.80 and 78,368.80 is: 117,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,612.60 : 294,991.80 = 78,368.80 : x
  2. Step 2: Convert to fraction form
    196,612.60/294,991.80 = 78,368.80/x
  3. Step 3: Cross multiply
    196,612.60x = 294,991.80 × 78,368.80
  4. Step 4: Simplify right side
    196,612.60x = 23,118,153,375.84
  5. Step 5: Solve for x
    x = 23,118,153,375.84/196,612.60
  6. Step 6: Final answer
    x = 117,582.26

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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.