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Finding the Fourth Proportional to 200,529.13, 300,823.94 and 86,708.08

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Solution

The fourth proportional to 200,529.13, 300,823.94 and 86,708.08 is: 130,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,529.13 : 300,823.94 = 86,708.08 : x
  2. Step 2: Convert to fraction form
    200,529.13/300,823.94 = 86,708.08/x
  3. Step 3: Cross multiply
    200,529.13x = 300,823.94 × 86,708.08
  4. Step 4: Simplify right side
    200,529.13x = 26,083,866,255.44
  5. Step 5: Solve for x
    x = 26,083,866,255.44/200,529.13
  6. Step 6: Final answer
    x = 130,075.20

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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.