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Finding the Fourth Proportional to 156,978.40, 235,467.60 and 51,783.70

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Solution

The fourth proportional to 156,978.40, 235,467.60 and 51,783.70 is: 77,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,978.40 : 235,467.60 = 51,783.70 : x
  2. Step 2: Convert to fraction form
    156,978.40/235,467.60 = 51,783.70/x
  3. Step 3: Cross multiply
    156,978.40x = 235,467.60 × 51,783.70
  4. Step 4: Simplify right side
    156,978.40x = 12,193,383,558.12
  5. Step 5: Solve for x
    x = 12,193,383,558.12/156,978.40
  6. Step 6: Final answer
    x = 77,675.55

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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.