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Finding the Fourth Proportional to 136,410.30, 204,615.45 and 83,849.40

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Solution

The fourth proportional to 136,410.30, 204,615.45 and 83,849.40 is: 125,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410.30 : 204,615.45 = 83,849.40 : x
  2. Step 2: Convert to fraction form
    136,410.30/204,615.45 = 83,849.40/x
  3. Step 3: Cross multiply
    136,410.30x = 204,615.45 × 83,849.40
  4. Step 4: Simplify right side
    136,410.30x = 17,156,882,713.23
  5. Step 5: Solve for x
    x = 17,156,882,713.23/136,410.30
  6. Step 6: Final answer
    x = 125,774.10

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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.