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Finding the Fourth Proportional to 137,572, 189,849.44 and 81,018.24

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Solution

The fourth proportional to 137,572, 189,849.44 and 81,018.24 is: 111,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572 : 189,849.44 = 81,018.24 : x
  2. Step 2: Convert to fraction form
    137,572/189,849.44 = 81,018.24/x
  3. Step 3: Cross multiply
    137,572x = 189,849.44 × 81,018.24
  4. Step 4: Simplify right side
    137,572x = 15,381,267,493.79
  5. Step 5: Solve for x
    x = 15,381,267,493.79/137,572
  6. Step 6: Final answer
    x = 111,805.22

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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.