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Finding the Fourth Proportional to 135,527.60, 203,485.80 and 105,978.80

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Solution

The fourth proportional to 135,527.60, 203,485.80 and 105,978.80 is: 159,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,527.60 : 203,485.80 = 105,978.80 : x
  2. Step 2: Convert to fraction form
    135,527.60/203,485.80 = 105,978.80/x
  3. Step 3: Cross multiply
    135,527.60x = 203,485.80 × 105,978.80
  4. Step 4: Simplify right side
    135,527.60x = 21,565,180,901.04
  5. Step 5: Solve for x
    x = 21,565,180,901.04/135,527.60
  6. Step 6: Final answer
    x = 159,120.22

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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.