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Finding the Fourth Proportional to 136,826.83, 205,187.95 and 65,729.21

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Solution

The fourth proportional to 136,826.83, 205,187.95 and 65,729.21 is: 98,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,826.83 : 205,187.95 = 65,729.21 : x
  2. Step 2: Convert to fraction form
    136,826.83/205,187.95 = 65,729.21/x
  3. Step 3: Cross multiply
    136,826.83x = 205,187.95 × 65,729.21
  4. Step 4: Simplify right side
    136,826.83x = 13,486,841,855.02
  5. Step 5: Solve for x
    x = 13,486,841,855.02/136,826.83
  6. Step 6: Final answer
    x = 98,568.69

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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.