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Finding the Fourth Proportional to 136,872.13, 205,179.02 and 65,834.98

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Solution

The fourth proportional to 136,872.13, 205,179.02 and 65,834.98 is: 98,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,872.13 : 205,179.02 = 65,834.98 : x
  2. Step 2: Convert to fraction form
    136,872.13/205,179.02 = 65,834.98/x
  3. Step 3: Cross multiply
    136,872.13x = 205,179.02 × 65,834.98
  4. Step 4: Simplify right side
    136,872.13x = 13,507,956,453.20
  5. Step 5: Solve for x
    x = 13,507,956,453.20/136,872.13
  6. Step 6: Final answer
    x = 98,690.34

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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.