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Finding the Fourth Proportional to 208,109.40, 311,472.90 and 145,901.40

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Solution

The fourth proportional to 208,109.40, 311,472.90 and 145,901.40 is: 218,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,109.40 : 311,472.90 = 145,901.40 : x
  2. Step 2: Convert to fraction form
    208,109.40/311,472.90 = 145,901.40/x
  3. Step 3: Cross multiply
    208,109.40x = 311,472.90 × 145,901.40
  4. Step 4: Simplify right side
    208,109.40x = 45,444,332,172.06
  5. Step 5: Solve for x
    x = 45,444,332,172.06/208,109.40
  6. Step 6: Final answer
    x = 218,367.51

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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.