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Finding the Fourth Proportional to 156,978.60, 235,467.90 and 68,274.60

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Solution

The fourth proportional to 156,978.60, 235,467.90 and 68,274.60 is: 102,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.60 : 235,467.90 = 68,274.60 : x
  2. Step 2: Convert to fraction form
    156,978.60/235,467.90 = 68,274.60/x
  3. Step 3: Cross multiply
    156,978.60x = 235,467.90 × 68,274.60
  4. Step 4: Simplify right side
    156,978.60x = 16,076,476,685.34
  5. Step 5: Solve for x
    x = 16,076,476,685.34/156,978.60
  6. Step 6: Final answer
    x = 102,411.90

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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.