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Finding the Fourth Proportional to 206,740.61, 309,914.04 and 66,400.82

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Solution

The fourth proportional to 206,740.61, 309,914.04 and 66,400.82 is: 99,538.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,740.61 : 309,914.04 = 66,400.82 : x
  2. Step 2: Convert to fraction form
    206,740.61/309,914.04 = 66,400.82/x
  3. Step 3: Cross multiply
    206,740.61x = 309,914.04 × 66,400.82
  4. Step 4: Simplify right side
    206,740.61x = 20,578,546,385.51
  5. Step 5: Solve for x
    x = 20,578,546,385.51/206,740.61
  6. Step 6: Final answer
    x = 99,538.00

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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.