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Finding the Fourth Proportional to 145,406.78, 200,659.39 and 81,744.56

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Solution

The fourth proportional to 145,406.78, 200,659.39 and 81,744.56 is: 112,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,406.78 : 200,659.39 = 81,744.56 : x
  2. Step 2: Convert to fraction form
    145,406.78/200,659.39 = 81,744.56/x
  3. Step 3: Cross multiply
    145,406.78x = 200,659.39 × 81,744.56
  4. Step 4: Simplify right side
    145,406.78x = 16,402,812,542.12
  5. Step 5: Solve for x
    x = 16,402,812,542.12/145,406.78
  6. Step 6: Final answer
    x = 112,806.38

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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.