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Finding the Fourth Proportional to 147,156.63, 203,082.81 and 86,729.82

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Solution

The fourth proportional to 147,156.63, 203,082.81 and 86,729.82 is: 119,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,156.63 : 203,082.81 = 86,729.82 : x
  2. Step 2: Convert to fraction form
    147,156.63/203,082.81 = 86,729.82/x
  3. Step 3: Cross multiply
    147,156.63x = 203,082.81 × 86,729.82
  4. Step 4: Simplify right side
    147,156.63x = 17,613,334,540.98
  5. Step 5: Solve for x
    x = 17,613,334,540.98/147,156.63
  6. Step 6: Final answer
    x = 119,691.07

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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.