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Finding the Fourth Proportional to 208,474.54, 287,695.10 and 112,981.24

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Solution

The fourth proportional to 208,474.54, 287,695.10 and 112,981.24 is: 155,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,474.54 : 287,695.10 = 112,981.24 : x
  2. Step 2: Convert to fraction form
    208,474.54/287,695.10 = 112,981.24/x
  3. Step 3: Cross multiply
    208,474.54x = 287,695.10 × 112,981.24
  4. Step 4: Simplify right side
    208,474.54x = 32,504,149,139.92
  5. Step 5: Solve for x
    x = 32,504,149,139.92/208,474.54
  6. Step 6: Final answer
    x = 155,914.24

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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.