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Finding the Fourth Proportional to 206,271.19, 309,495.01 and 86,356.16

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Solution

The fourth proportional to 206,271.19, 309,495.01 and 86,356.16 is: 129,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,271.19 : 309,495.01 = 86,356.16 : x
  2. Step 2: Convert to fraction form
    206,271.19/309,495.01 = 86,356.16/x
  3. Step 3: Cross multiply
    206,271.19x = 309,495.01 × 86,356.16
  4. Step 4: Simplify right side
    206,271.19x = 26,726,800,602.76
  5. Step 5: Solve for x
    x = 26,726,800,602.76/206,271.19
  6. Step 6: Final answer
    x = 129,571.18

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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.