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Finding the Fourth Proportional to 209,291.77, 288,820.55 and 113,798.47

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Solution

The fourth proportional to 209,291.77, 288,820.55 and 113,798.47 is: 157,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,291.77 : 288,820.55 = 113,798.47 : x
  2. Step 2: Convert to fraction form
    209,291.77/288,820.55 = 113,798.47/x
  3. Step 3: Cross multiply
    209,291.77x = 288,820.55 × 113,798.47
  4. Step 4: Simplify right side
    209,291.77x = 32,867,336,125.57
  5. Step 5: Solve for x
    x = 32,867,336,125.57/209,291.77
  6. Step 6: Final answer
    x = 157,040.75

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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.