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Finding the Fourth Proportional to 218,920.82, 302,103.88 and 123,426.14

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Solution

The fourth proportional to 218,920.82, 302,103.88 and 123,426.14 is: 170,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920.82 : 302,103.88 = 123,426.14 : x
  2. Step 2: Convert to fraction form
    218,920.82/302,103.88 = 123,426.14/x
  3. Step 3: Cross multiply
    218,920.82x = 302,103.88 × 123,426.14
  4. Step 4: Simplify right side
    218,920.82x = 37,287,513,968.34
  5. Step 5: Solve for x
    x = 37,287,513,968.34/218,920.82
  6. Step 6: Final answer
    x = 170,324.21

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1.5x scale

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.