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Finding the Fourth Proportional to 381,382.42, 572,166.12 and 115,127.03

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Solution

The fourth proportional to 381,382.42, 572,166.12 and 115,127.03 is: 172,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,382.42 : 572,166.12 = 115,127.03 : x
  2. Step 2: Convert to fraction form
    381,382.42/572,166.12 = 115,127.03/x
  3. Step 3: Cross multiply
    381,382.42x = 572,166.12 × 115,127.03
  4. Step 4: Simplify right side
    381,382.42x = 65,871,786,062.22
  5. Step 5: Solve for x
    x = 65,871,786,062.22/381,382.42
  6. Step 6: Final answer
    x = 172,718.46

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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.