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Finding the Fourth Proportional to 137,700, 189,996.72 and 81,090.72

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Solution

The fourth proportional to 137,700, 189,996.72 and 81,090.72 is: 111,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,700 : 189,996.72 = 81,090.72 : x
  2. Step 2: Convert to fraction form
    137,700/189,996.72 = 81,090.72/x
  3. Step 3: Cross multiply
    137,700x = 189,996.72 × 81,090.72
  4. Step 4: Simplify right side
    137,700x = 15,406,970,822.44
  5. Step 5: Solve for x
    x = 15,406,970,822.44/137,700
  6. Step 6: Final answer
    x = 111,887.95

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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.