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Finding the Fourth Proportional to 107,905.20, 161,728.20 and 55,287.60

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Solution

The fourth proportional to 107,905.20, 161,728.20 and 55,287.60 is: 82,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,905.20 : 161,728.20 = 55,287.60 : x
  2. Step 2: Convert to fraction form
    107,905.20/161,728.20 = 55,287.60/x
  3. Step 3: Cross multiply
    107,905.20x = 161,728.20 × 55,287.60
  4. Step 4: Simplify right side
    107,905.20x = 8,941,564,030.32
  5. Step 5: Solve for x
    x = 8,941,564,030.32/107,905.20
  6. Step 6: Final answer
    x = 82,865.00

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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.