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Finding the Fourth Proportional to 208,369.41, 287,551.13 and 112,876.04

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Solution

The fourth proportional to 208,369.41, 287,551.13 and 112,876.04 is: 155,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,369.41 : 287,551.13 = 112,876.04 : x
  2. Step 2: Convert to fraction form
    208,369.41/287,551.13 = 112,876.04/x
  3. Step 3: Cross multiply
    208,369.41x = 287,551.13 × 112,876.04
  4. Step 4: Simplify right side
    208,369.41x = 32,457,630,849.79
  5. Step 5: Solve for x
    x = 32,457,630,849.79/208,369.41
  6. Step 6: Final answer
    x = 155,769.65

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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.