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Finding the Fourth Proportional to 156,662.40, 235,147.20 and 77,865.60

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Solution

The fourth proportional to 156,662.40, 235,147.20 and 77,865.60 is: 116,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,662.40 : 235,147.20 = 77,865.60 : x
  2. Step 2: Convert to fraction form
    156,662.40/235,147.20 = 77,865.60/x
  3. Step 3: Cross multiply
    156,662.40x = 235,147.20 × 77,865.60
  4. Step 4: Simplify right side
    156,662.40x = 18,309,877,816.32
  5. Step 5: Solve for x
    x = 18,309,877,816.32/156,662.40
  6. Step 6: Final answer
    x = 116,874.74

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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.