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Finding the Fourth Proportional to 153,820.10, 230,766.60 and 78,951.80

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Solution

The fourth proportional to 153,820.10, 230,766.60 and 78,951.80 is: 118,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,820.10 : 230,766.60 = 78,951.80 : x
  2. Step 2: Convert to fraction form
    153,820.10/230,766.60 = 78,951.80/x
  3. Step 3: Cross multiply
    153,820.10x = 230,766.60 × 78,951.80
  4. Step 4: Simplify right side
    153,820.10x = 18,219,438,449.88
  5. Step 5: Solve for x
    x = 18,219,438,449.88/153,820.10
  6. Step 6: Final answer
    x = 118,446.41

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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.