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Finding the Fourth Proportional to 145,471.96, 200,748.15 and 84,220.73

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Solution

The fourth proportional to 145,471.96, 200,748.15 and 84,220.73 is: 116,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,471.96 : 200,748.15 = 84,220.73 : x
  2. Step 2: Convert to fraction form
    145,471.96/200,748.15 = 84,220.73/x
  3. Step 3: Cross multiply
    145,471.96x = 200,748.15 × 84,220.73
  4. Step 4: Simplify right side
    145,471.96x = 16,907,155,488.21
  5. Step 5: Solve for x
    x = 16,907,155,488.21/145,471.96
  6. Step 6: Final answer
    x = 116,222.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.