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Finding the Fourth Proportional to 209,366.42, 288,927.01 and 113,873.78

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Solution

The fourth proportional to 209,366.42, 288,927.01 and 113,873.78 is: 157,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,366.42 : 288,927.01 = 113,873.78 : x
  2. Step 2: Convert to fraction form
    209,366.42/288,927.01 = 113,873.78/x
  3. Step 3: Cross multiply
    209,366.42x = 288,927.01 × 113,873.78
  4. Step 4: Simplify right side
    209,366.42x = 32,901,210,772.80
  5. Step 5: Solve for x
    x = 32,901,210,772.80/209,366.42
  6. Step 6: Final answer
    x = 157,146.55

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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.