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Finding the Fourth Proportional to 153,985.80, 230,849.10 and 80,113.80

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Solution

The fourth proportional to 153,985.80, 230,849.10 and 80,113.80 is: 120,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,985.80 : 230,849.10 = 80,113.80 : x
  2. Step 2: Convert to fraction form
    153,985.80/230,849.10 = 80,113.80/x
  3. Step 3: Cross multiply
    153,985.80x = 230,849.10 × 80,113.80
  4. Step 4: Simplify right side
    153,985.80x = 18,494,198,627.58
  5. Step 5: Solve for x
    x = 18,494,198,627.58/153,985.80
  6. Step 6: Final answer
    x = 120,103.27

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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.