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Finding the Fourth Proportional to 216,748.98, 299,093.31 and 135,069.66

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Solution

The fourth proportional to 216,748.98, 299,093.31 and 135,069.66 is: 186,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,748.98 : 299,093.31 = 135,069.66 : x
  2. Step 2: Convert to fraction form
    216,748.98/299,093.31 = 135,069.66/x
  3. Step 3: Cross multiply
    216,748.98x = 299,093.31 × 135,069.66
  4. Step 4: Simplify right side
    216,748.98x = 40,398,431,689.97
  5. Step 5: Solve for x
    x = 40,398,431,689.97/216,748.98
  6. Step 6: Final answer
    x = 186,383.49

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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.