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Finding the Fourth Proportional to 208,439.43, 287,647.42 and 112,946.31

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Solution

The fourth proportional to 208,439.43, 287,647.42 and 112,946.31 is: 155,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.43 : 287,647.42 = 112,946.31 : x
  2. Step 2: Convert to fraction form
    208,439.43/287,647.42 = 112,946.31/x
  3. Step 3: Cross multiply
    208,439.43x = 287,647.42 × 112,946.31
  4. Step 4: Simplify right side
    208,439.43x = 32,488,712,667.05
  5. Step 5: Solve for x
    x = 32,488,712,667.05/208,439.43
  6. Step 6: Final answer
    x = 155,866.44

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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.