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Finding the Fourth Proportional to 138,092.50, 189,741.79 and 109,748.98

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Solution

The fourth proportional to 138,092.50, 189,741.79 and 109,748.98 is: 150,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,092.50 : 189,741.79 = 109,748.98 : x
  2. Step 2: Convert to fraction form
    138,092.50/189,741.79 = 109,748.98/x
  3. Step 3: Cross multiply
    138,092.50x = 189,741.79 × 109,748.98
  4. Step 4: Simplify right side
    138,092.50x = 20,823,966,967.17
  5. Step 5: Solve for x
    x = 20,823,966,967.17/138,092.50
  6. Step 6: Final answer
    x = 150,797.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.