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Finding the Fourth Proportional to 196,874.40, 295,117.20 and 78,387.60

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Solution

The fourth proportional to 196,874.40, 295,117.20 and 78,387.60 is: 117,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,874.40 : 295,117.20 = 78,387.60 : x
  2. Step 2: Convert to fraction form
    196,874.40/295,117.20 = 78,387.60/x
  3. Step 3: Cross multiply
    196,874.40x = 295,117.20 × 78,387.60
  4. Step 4: Simplify right side
    196,874.40x = 23,133,529,026.72
  5. Step 5: Solve for x
    x = 23,133,529,026.72/196,874.40
  6. Step 6: Final answer
    x = 117,504.00

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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.