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Finding the Fourth Proportional to 180,999.40, 271,499.10 and 75,807.40

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Solution

The fourth proportional to 180,999.40, 271,499.10 and 75,807.40 is: 113,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,999.40 : 271,499.10 = 75,807.40 : x
  2. Step 2: Convert to fraction form
    180,999.40/271,499.10 = 75,807.40/x
  3. Step 3: Cross multiply
    180,999.40x = 271,499.10 × 75,807.40
  4. Step 4: Simplify right side
    180,999.40x = 20,581,640,873.34
  5. Step 5: Solve for x
    x = 20,581,640,873.34/180,999.40
  6. Step 6: Final answer
    x = 113,711.10

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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.