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Finding the Fourth Proportional to 145,633.56, 200,961.52 and 81,097.93

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Solution

The fourth proportional to 145,633.56, 200,961.52 and 81,097.93 is: 111,908.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.56 : 200,961.52 = 81,097.93 : x
  2. Step 2: Convert to fraction form
    145,633.56/200,961.52 = 81,097.93/x
  3. Step 3: Cross multiply
    145,633.56x = 200,961.52 × 81,097.93
  4. Step 4: Simplify right side
    145,633.56x = 16,297,563,281.65
  5. Step 5: Solve for x
    x = 16,297,563,281.65/145,633.56
  6. Step 6: Final answer
    x = 111,908.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.