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Finding the Fourth Proportional to 209,062.56, 288,506.88 and 113,568.48

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Solution

The fourth proportional to 209,062.56, 288,506.88 and 113,568.48 is: 156,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.56 : 288,506.88 = 113,568.48 : x
  2. Step 2: Convert to fraction form
    209,062.56/288,506.88 = 113,568.48/x
  3. Step 3: Cross multiply
    209,062.56x = 288,506.88 × 113,568.48
  4. Step 4: Simplify right side
    209,062.56x = 32,765,287,831.14
  5. Step 5: Solve for x
    x = 32,765,287,831.14/209,062.56
  6. Step 6: Final answer
    x = 156,724.80

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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.