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Finding the Fourth Proportional to 208,908.24, 288,288.90 and 113,414.10

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Solution

The fourth proportional to 208,908.24, 288,288.90 and 113,414.10 is: 156,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,908.24 : 288,288.90 = 113,414.10 : x
  2. Step 2: Convert to fraction form
    208,908.24/288,288.90 = 113,414.10/x
  3. Step 3: Cross multiply
    208,908.24x = 288,288.90 × 113,414.10
  4. Step 4: Simplify right side
    208,908.24x = 32,696,026,133.49
  5. Step 5: Solve for x
    x = 32,696,026,133.49/208,908.24
  6. Step 6: Final answer
    x = 156,509.03

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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.