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Finding the Fourth Proportional to 208,397.76, 287,588.56 and 112,906.88

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Solution

The fourth proportional to 208,397.76, 287,588.56 and 112,906.88 is: 155,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,397.76 : 287,588.56 = 112,906.88 : x
  2. Step 2: Convert to fraction form
    208,397.76/287,588.56 = 112,906.88/x
  3. Step 3: Cross multiply
    208,397.76x = 287,588.56 × 112,906.88
  4. Step 4: Simplify right side
    208,397.76x = 32,470,727,033.29
  5. Step 5: Solve for x
    x = 32,470,727,033.29/208,397.76
  6. Step 6: Final answer
    x = 155,811.31

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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.