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Finding the Fourth Proportional to 209,221.48, 288,726.30 and 113,728.48

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Solution

The fourth proportional to 209,221.48, 288,726.30 and 113,728.48 is: 156,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,221.48 : 288,726.30 = 113,728.48 : x
  2. Step 2: Convert to fraction form
    209,221.48/288,726.30 = 113,728.48/x
  3. Step 3: Cross multiply
    209,221.48x = 288,726.30 × 113,728.48
  4. Step 4: Simplify right side
    209,221.48x = 32,836,403,235.02
  5. Step 5: Solve for x
    x = 32,836,403,235.02/209,221.48
  6. Step 6: Final answer
    x = 156,945.66

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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.