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Finding the Fourth Proportional to 110,999.40, 166,499.10 and 100,285.80

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Solution

The fourth proportional to 110,999.40, 166,499.10 and 100,285.80 is: 150,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,999.40 : 166,499.10 = 100,285.80 : x
  2. Step 2: Convert to fraction form
    110,999.40/166,499.10 = 100,285.80/x
  3. Step 3: Cross multiply
    110,999.40x = 166,499.10 × 100,285.80
  4. Step 4: Simplify right side
    110,999.40x = 16,697,495,442.78
  5. Step 5: Solve for x
    x = 16,697,495,442.78/110,999.40
  6. Step 6: Final answer
    x = 150,428.70

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1.5x scale

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.