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Finding the Fourth Proportional to 135,456.10, 186,933.02 and 75,032.12

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Solution

The fourth proportional to 135,456.10, 186,933.02 and 75,032.12 is: 103,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,456.10 : 186,933.02 = 75,032.12 : x
  2. Step 2: Convert to fraction form
    135,456.10/186,933.02 = 75,032.12/x
  3. Step 3: Cross multiply
    135,456.10x = 186,933.02 × 75,032.12
  4. Step 4: Simplify right side
    135,456.10x = 14,025,980,880.77
  5. Step 5: Solve for x
    x = 14,025,980,880.77/135,456.10
  6. Step 6: Final answer
    x = 103,546.32

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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.