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Finding the Fourth Proportional to 208,412.09, 287,608.71 and 112,918.78

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Solution

The fourth proportional to 208,412.09, 287,608.71 and 112,918.78 is: 155,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.09 : 287,608.71 = 112,918.78 : x
  2. Step 2: Convert to fraction form
    208,412.09/287,608.71 = 112,918.78/x
  3. Step 3: Cross multiply
    208,412.09x = 287,608.71 × 112,918.78
  4. Step 4: Simplify right side
    208,412.09x = 32,476,424,650.57
  5. Step 5: Solve for x
    x = 32,476,424,650.57/208,412.09
  6. Step 6: Final answer
    x = 155,827.93

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1.5x scale

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.