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Finding the Fourth Proportional to 208,798.72, 288,143.01 and 113,305.43

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Solution

The fourth proportional to 208,798.72, 288,143.01 and 113,305.43 is: 156,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,798.72 : 288,143.01 = 113,305.43 : x
  2. Step 2: Convert to fraction form
    208,798.72/288,143.01 = 113,305.43/x
  3. Step 3: Cross multiply
    208,798.72x = 288,143.01 × 113,305.43
  4. Step 4: Simplify right side
    208,798.72x = 32,648,167,649.54
  5. Step 5: Solve for x
    x = 32,648,167,649.54/208,798.72
  6. Step 6: Final answer
    x = 156,361.92

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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.