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Finding the Fourth Proportional to 135,989.66, 187,678.42 and 82,287.92

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Solution

The fourth proportional to 135,989.66, 187,678.42 and 82,287.92 is: 113,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,989.66 : 187,678.42 = 82,287.92 : x
  2. Step 2: Convert to fraction form
    135,989.66/187,678.42 = 82,287.92/x
  3. Step 3: Cross multiply
    135,989.66x = 187,678.42 × 82,287.92
  4. Step 4: Simplify right side
    135,989.66x = 15,443,666,810.69
  5. Step 5: Solve for x
    x = 15,443,666,810.69/135,989.66
  6. Step 6: Final answer
    x = 113,565.01

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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.