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Finding the Fourth Proportional to 216,709.38, 299,058.94 and 141,257.88

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Solution

The fourth proportional to 216,709.38, 299,058.94 and 141,257.88 is: 194,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,709.38 : 299,058.94 = 141,257.88 : x
  2. Step 2: Convert to fraction form
    216,709.38/299,058.94 = 141,257.88/x
  3. Step 3: Cross multiply
    216,709.38x = 299,058.94 × 141,257.88
  4. Step 4: Simplify right side
    216,709.38x = 42,244,431,859.45
  5. Step 5: Solve for x
    x = 42,244,431,859.45/216,709.38
  6. Step 6: Final answer
    x = 194,935.87

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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.