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Finding the Fourth Proportional to 156,978.45, 235,522.35 and 68,295.60

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Solution

The fourth proportional to 156,978.45, 235,522.35 and 68,295.60 is: 102,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.45 : 235,522.35 = 68,295.60 : x
  2. Step 2: Convert to fraction form
    156,978.45/235,522.35 = 68,295.60/x
  3. Step 3: Cross multiply
    156,978.45x = 235,522.35 × 68,295.60
  4. Step 4: Simplify right side
    156,978.45x = 16,085,140,206.66
  5. Step 5: Solve for x
    x = 16,085,140,206.66/156,978.45
  6. Step 6: Final answer
    x = 102,467.19

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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.