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Finding the Fourth Proportional to 208,568.88, 287,824.86 and 113,074.74

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Solution

The fourth proportional to 208,568.88, 287,824.86 and 113,074.74 is: 156,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.88 : 287,824.86 = 113,074.74 : x
  2. Step 2: Convert to fraction form
    208,568.88/287,824.86 = 113,074.74/x
  3. Step 3: Cross multiply
    208,568.88x = 287,824.86 × 113,074.74
  4. Step 4: Simplify right side
    208,568.88x = 32,545,721,210.04
  5. Step 5: Solve for x
    x = 32,545,721,210.04/208,568.88
  6. Step 6: Final answer
    x = 156,043.04

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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.