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Finding the Fourth Proportional to 208,906.68, 288,012.80 and 166,029.32

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Solution

The fourth proportional to 208,906.68, 288,012.80 and 166,029.32 is: 228,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,906.68 : 288,012.80 = 166,029.32 : x
  2. Step 2: Convert to fraction form
    208,906.68/288,012.80 = 166,029.32/x
  3. Step 3: Cross multiply
    208,906.68x = 288,012.80 × 166,029.32
  4. Step 4: Simplify right side
    208,906.68x = 47,818,569,335.30
  5. Step 5: Solve for x
    x = 47,818,569,335.30/208,906.68
  6. Step 6: Final answer
    x = 228,899.19

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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.