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Finding the Fourth Proportional to 208,411.90, 287,608.74 and 112,918.62

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Solution

The fourth proportional to 208,411.90, 287,608.74 and 112,918.62 is: 155,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,411.90 : 287,608.74 = 112,918.62 : x
  2. Step 2: Convert to fraction form
    208,411.90/287,608.74 = 112,918.62/x
  3. Step 3: Cross multiply
    208,411.90x = 287,608.74 × 112,918.62
  4. Step 4: Simplify right side
    208,411.90x = 32,476,382,020.74
  5. Step 5: Solve for x
    x = 32,476,382,020.74/208,411.90
  6. Step 6: Final answer
    x = 155,827.87

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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.