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Finding the Fourth Proportional to 136,225.80, 204,314.40 and 86,216.40

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Solution

The fourth proportional to 136,225.80, 204,314.40 and 86,216.40 is: 129,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,225.80 : 204,314.40 = 86,216.40 : x
  2. Step 2: Convert to fraction form
    136,225.80/204,314.40 = 86,216.40/x
  3. Step 3: Cross multiply
    136,225.80x = 204,314.40 × 86,216.40
  4. Step 4: Simplify right side
    136,225.80x = 17,615,252,036.16
  5. Step 5: Solve for x
    x = 17,615,252,036.16/136,225.80
  6. Step 6: Final answer
    x = 129,309.22

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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.