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Finding the Fourth Proportional to 136,297.80, 204,422.40 and 86,288.40

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Solution

The fourth proportional to 136,297.80, 204,422.40 and 86,288.40 is: 129,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,297.80 : 204,422.40 = 86,288.40 : x
  2. Step 2: Convert to fraction form
    136,297.80/204,422.40 = 86,288.40/x
  3. Step 3: Cross multiply
    136,297.80x = 204,422.40 × 86,288.40
  4. Step 4: Simplify right side
    136,297.80x = 17,639,281,820.16
  5. Step 5: Solve for x
    x = 17,639,281,820.16/136,297.80
  6. Step 6: Final answer
    x = 129,417.22

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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.