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Finding the Fourth Proportional to 208,411.72, 287,607.78 and 112,921

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Solution

The fourth proportional to 208,411.72, 287,607.78 and 112,921 is: 155,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.72 : 287,607.78 = 112,921 : x
  2. Step 2: Convert to fraction form
    208,411.72/287,607.78 = 112,921/x
  3. Step 3: Cross multiply
    208,411.72x = 287,607.78 × 112,921
  4. Step 4: Simplify right side
    208,411.72x = 32,476,958,125.38
  5. Step 5: Solve for x
    x = 32,476,958,125.38/208,411.72
  6. Step 6: Final answer
    x = 155,830.77

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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.