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Finding the Fourth Proportional to 209,291.52, 288,820.20 and 113,798.22

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Solution

The fourth proportional to 209,291.52, 288,820.20 and 113,798.22 is: 157,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,291.52 : 288,820.20 = 113,798.22 : x
  2. Step 2: Convert to fraction form
    209,291.52/288,820.20 = 113,798.22/x
  3. Step 3: Cross multiply
    209,291.52x = 288,820.20 × 113,798.22
  4. Step 4: Simplify right side
    209,291.52x = 32,867,224,660.04
  5. Step 5: Solve for x
    x = 32,867,224,660.04/209,291.52
  6. Step 6: Final answer
    x = 157,040.40

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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.