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Finding the Fourth Proportional to 137,415.60, 189,624.96 and 80,816.40

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Solution

The fourth proportional to 137,415.60, 189,624.96 and 80,816.40 is: 111,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.60 : 189,624.96 = 80,816.40 : x
  2. Step 2: Convert to fraction form
    137,415.60/189,624.96 = 80,816.40/x
  3. Step 3: Cross multiply
    137,415.60x = 189,624.96 × 80,816.40
  4. Step 4: Simplify right side
    137,415.60x = 15,324,806,617.34
  5. Step 5: Solve for x
    x = 15,324,806,617.34/137,415.60
  6. Step 6: Final answer
    x = 111,521.59

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1.5x scale

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.