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Finding the Fourth Proportional to 208,506.25, 287,738.47 and 113,012.97

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Solution

The fourth proportional to 208,506.25, 287,738.47 and 113,012.97 is: 155,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,506.25 : 287,738.47 = 113,012.97 : x
  2. Step 2: Convert to fraction form
    208,506.25/287,738.47 = 113,012.97/x
  3. Step 3: Cross multiply
    208,506.25x = 287,738.47 × 113,012.97
  4. Step 4: Simplify right side
    208,506.25x = 32,518,178,512.89
  5. Step 5: Solve for x
    x = 32,518,178,512.89/208,506.25
  6. Step 6: Final answer
    x = 155,957.81

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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.