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Finding the Fourth Proportional to 208,490.52, 287,715.78 and 112,996.20

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Solution

The fourth proportional to 208,490.52, 287,715.78 and 112,996.20 is: 155,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,490.52 : 287,715.78 = 112,996.20 : x
  2. Step 2: Convert to fraction form
    208,490.52/287,715.78 = 112,996.20/x
  3. Step 3: Cross multiply
    208,490.52x = 287,715.78 × 112,996.20
  4. Step 4: Simplify right side
    208,490.52x = 32,510,789,820.04
  5. Step 5: Solve for x
    x = 32,510,789,820.04/208,490.52
  6. Step 6: Final answer
    x = 155,934.14

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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.