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Finding the Fourth Proportional to 218,964.86, 302,119.80 and 123,453.10

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Solution

The fourth proportional to 218,964.86, 302,119.80 and 123,453.10 is: 170,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.86 : 302,119.80 = 123,453.10 : x
  2. Step 2: Convert to fraction form
    218,964.86/302,119.80 = 123,453.10/x
  3. Step 3: Cross multiply
    218,964.86x = 302,119.80 × 123,453.10
  4. Step 4: Simplify right side
    218,964.86x = 37,297,625,881.38
  5. Step 5: Solve for x
    x = 37,297,625,881.38/218,964.86
  6. Step 6: Final answer
    x = 170,336.13

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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.