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Finding the Fourth Proportional to 107,786.64, 161,465.64 and 84,303.12

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Solution

The fourth proportional to 107,786.64, 161,465.64 and 84,303.12 is: 126,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,786.64 : 161,465.64 = 84,303.12 : x
  2. Step 2: Convert to fraction form
    107,786.64/161,465.64 = 84,303.12/x
  3. Step 3: Cross multiply
    107,786.64x = 161,465.64 × 84,303.12
  4. Step 4: Simplify right side
    107,786.64x = 13,612,057,224.80
  5. Step 5: Solve for x
    x = 13,612,057,224.80/107,786.64
  6. Step 6: Final answer
    x = 126,287.05

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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.