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Finding the Fourth Proportional to 208,134.20, 287,225.94 and 112,640.88

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Solution

The fourth proportional to 208,134.20, 287,225.94 and 112,640.88 is: 155,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134.20 : 287,225.94 = 112,640.88 : x
  2. Step 2: Convert to fraction form
    208,134.20/287,225.94 = 112,640.88/x
  3. Step 3: Cross multiply
    208,134.20x = 287,225.94 × 112,640.88
  4. Step 4: Simplify right side
    208,134.20x = 32,353,382,640.43
  5. Step 5: Solve for x
    x = 32,353,382,640.43/208,134.20
  6. Step 6: Final answer
    x = 155,444.82

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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.