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Finding the Fourth Proportional to 137,220.20, 205,538.70 and 113,892.20

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Solution

The fourth proportional to 137,220.20, 205,538.70 and 113,892.20 is: 170,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220.20 : 205,538.70 = 113,892.20 : x
  2. Step 2: Convert to fraction form
    137,220.20/205,538.70 = 113,892.20/x
  3. Step 3: Cross multiply
    137,220.20x = 205,538.70 × 113,892.20
  4. Step 4: Simplify right side
    137,220.20x = 23,409,254,728.14
  5. Step 5: Solve for x
    x = 23,409,254,728.14/137,220.20
  6. Step 6: Final answer
    x = 170,596.27

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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.