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Finding the Fourth Proportional to 206,347.65, 309,566.03 and 64,190.22

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Solution

The fourth proportional to 206,347.65, 309,566.03 and 64,190.22 is: 96,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,347.65 : 309,566.03 = 64,190.22 : x
  2. Step 2: Convert to fraction form
    206,347.65/309,566.03 = 64,190.22/x
  3. Step 3: Cross multiply
    206,347.65x = 309,566.03 × 64,190.22
  4. Step 4: Simplify right side
    206,347.65x = 19,871,111,570.23
  5. Step 5: Solve for x
    x = 19,871,111,570.23/206,347.65
  6. Step 6: Final answer
    x = 96,299.19

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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.