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Finding the Fourth Proportional to 208,820.64, 288,411.72 and 137,519.36

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Solution

The fourth proportional to 208,820.64, 288,411.72 and 137,519.36 is: 189,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820.64 : 288,411.72 = 137,519.36 : x
  2. Step 2: Convert to fraction form
    208,820.64/288,411.72 = 137,519.36/x
  3. Step 3: Cross multiply
    208,820.64x = 288,411.72 × 137,519.36
  4. Step 4: Simplify right side
    208,820.64x = 39,662,195,150.90
  5. Step 5: Solve for x
    x = 39,662,195,150.90/208,820.64
  6. Step 6: Final answer
    x = 189,934.27

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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.