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Finding the Fourth Proportional to 207,407.38, 311,041.89 and 81,014.86

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Solution

The fourth proportional to 207,407.38, 311,041.89 and 81,014.86 is: 121,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,407.38 : 311,041.89 = 81,014.86 : x
  2. Step 2: Convert to fraction form
    207,407.38/311,041.89 = 81,014.86/x
  3. Step 3: Cross multiply
    207,407.38x = 311,041.89 × 81,014.86
  4. Step 4: Simplify right side
    207,407.38x = 25,199,015,172.49
  5. Step 5: Solve for x
    x = 25,199,015,172.49/207,407.38
  6. Step 6: Final answer
    x = 121,495.27

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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.