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Finding the Fourth Proportional to 206,343.74, 309,603.09 and 112,740.14

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Solution

The fourth proportional to 206,343.74, 309,603.09 and 112,740.14 is: 169,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,343.74 : 309,603.09 = 112,740.14 : x
  2. Step 2: Convert to fraction form
    206,343.74/309,603.09 = 112,740.14/x
  3. Step 3: Cross multiply
    206,343.74x = 309,603.09 × 112,740.14
  4. Step 4: Simplify right side
    206,343.74x = 34,904,694,163.02
  5. Step 5: Solve for x
    x = 34,904,694,163.02/206,343.74
  6. Step 6: Final answer
    x = 169,158.00

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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.