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Finding the Fourth Proportional to 156,771.80, 235,157.70 and 146,274.20

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Solution

The fourth proportional to 156,771.80, 235,157.70 and 146,274.20 is: 219,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,771.80 : 235,157.70 = 146,274.20 : x
  2. Step 2: Convert to fraction form
    156,771.80/235,157.70 = 146,274.20/x
  3. Step 3: Cross multiply
    156,771.80x = 235,157.70 × 146,274.20
  4. Step 4: Simplify right side
    156,771.80x = 34,397,504,441.34
  5. Step 5: Solve for x
    x = 34,397,504,441.34/156,771.80
  6. Step 6: Final answer
    x = 219,411.30

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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.