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Finding the Fourth Proportional to 235,912.40, 353,868.60 and 78,165.20

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Solution

The fourth proportional to 235,912.40, 353,868.60 and 78,165.20 is: 117,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,912.40 : 353,868.60 = 78,165.20 : x
  2. Step 2: Convert to fraction form
    235,912.40/353,868.60 = 78,165.20/x
  3. Step 3: Cross multiply
    235,912.40x = 353,868.60 × 78,165.20
  4. Step 4: Simplify right side
    235,912.40x = 27,660,209,892.72
  5. Step 5: Solve for x
    x = 27,660,209,892.72/235,912.40
  6. Step 6: Final answer
    x = 117,247.80

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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.