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Finding the Fourth Proportional to 209,768.64, 289,478.16 and 114,275.28

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Solution

The fourth proportional to 209,768.64, 289,478.16 and 114,275.28 is: 157,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,768.64 : 289,478.16 = 114,275.28 : x
  2. Step 2: Convert to fraction form
    209,768.64/289,478.16 = 114,275.28/x
  3. Step 3: Cross multiply
    209,768.64x = 289,478.16 × 114,275.28
  4. Step 4: Simplify right side
    209,768.64x = 33,080,197,787.88
  5. Step 5: Solve for x
    x = 33,080,197,787.88/209,768.64
  6. Step 6: Final answer
    x = 157,698.49

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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.