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Finding the Fourth Proportional to 137,154.80, 205,732.20 and 113,826.80

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Solution

The fourth proportional to 137,154.80, 205,732.20 and 113,826.80 is: 170,740.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,154.80 : 205,732.20 = 113,826.80 : x
  2. Step 2: Convert to fraction form
    137,154.80/205,732.20 = 113,826.80/x
  3. Step 3: Cross multiply
    137,154.80x = 205,732.20 × 113,826.80
  4. Step 4: Simplify right side
    137,154.80x = 23,417,837,982.96
  5. Step 5: Solve for x
    x = 23,417,837,982.96/137,154.80
  6. Step 6: Final answer
    x = 170,740.20

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1.5x scale

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.