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Finding the Fourth Proportional to 216,031.62, 298,123.56 and 120,538.29

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Solution

The fourth proportional to 216,031.62, 298,123.56 and 120,538.29 is: 166,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,031.62 : 298,123.56 = 120,538.29 : x
  2. Step 2: Convert to fraction form
    216,031.62/298,123.56 = 120,538.29/x
  3. Step 3: Cross multiply
    216,031.62x = 298,123.56 × 120,538.29
  4. Step 4: Simplify right side
    216,031.62x = 35,935,304,131.11
  5. Step 5: Solve for x
    x = 35,935,304,131.11/216,031.62
  6. Step 6: Final answer
    x = 166,342.80

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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.