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Finding the Fourth Proportional to 105,186.61, 157,663.02 and 80,144.08

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Solution

The fourth proportional to 105,186.61, 157,663.02 and 80,144.08 is: 120,127.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186.61 : 157,663.02 = 80,144.08 : x
  2. Step 2: Convert to fraction form
    105,186.61/157,663.02 = 80,144.08/x
  3. Step 3: Cross multiply
    105,186.61x = 157,663.02 × 80,144.08
  4. Step 4: Simplify right side
    105,186.61x = 12,635,757,687.92
  5. Step 5: Solve for x
    x = 12,635,757,687.92/105,186.61
  6. Step 6: Final answer
    x = 120,127.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.