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Finding the Fourth Proportional to 208,215.50, 287,335.76 and 112,721.49

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Solution

The fourth proportional to 208,215.50, 287,335.76 and 112,721.49 is: 155,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,215.50 : 287,335.76 = 112,721.49 : x
  2. Step 2: Convert to fraction form
    208,215.50/287,335.76 = 112,721.49/x
  3. Step 3: Cross multiply
    208,215.50x = 287,335.76 × 112,721.49
  4. Step 4: Simplify right side
    208,215.50x = 32,388,914,433.88
  5. Step 5: Solve for x
    x = 32,388,914,433.88/208,215.50
  6. Step 6: Final answer
    x = 155,554.77

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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.