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Finding the Fourth Proportional to 123,191.65, 169,850.44 and 102,803.08

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Solution

The fourth proportional to 123,191.65, 169,850.44 and 102,803.08 is: 141,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,191.65 : 169,850.44 = 102,803.08 : x
  2. Step 2: Convert to fraction form
    123,191.65/169,850.44 = 102,803.08/x
  3. Step 3: Cross multiply
    123,191.65x = 169,850.44 × 102,803.08
  4. Step 4: Simplify right side
    123,191.65x = 17,461,148,281.97
  5. Step 5: Solve for x
    x = 17,461,148,281.97/123,191.65
  6. Step 6: Final answer
    x = 141,739.71

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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.