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Finding the Fourth Proportional to 218,903.72, 302,083.12 and 123,410.52

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Solution

The fourth proportional to 218,903.72, 302,083.12 and 123,410.52 is: 170,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,903.72 : 302,083.12 = 123,410.52 : x
  2. Step 2: Convert to fraction form
    218,903.72/302,083.12 = 123,410.52/x
  3. Step 3: Cross multiply
    218,903.72x = 302,083.12 × 123,410.52
  4. Step 4: Simplify right side
    218,903.72x = 37,280,234,922.42
  5. Step 5: Solve for x
    x = 37,280,234,922.42/218,903.72
  6. Step 6: Final answer
    x = 170,304.25

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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.