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Finding the Fourth Proportional to 208,439.76, 287,646.40 and 112,949.04

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Solution

The fourth proportional to 208,439.76, 287,646.40 and 112,949.04 is: 155,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,439.76 : 287,646.40 = 112,949.04 : x
  2. Step 2: Convert to fraction form
    208,439.76/287,646.40 = 112,949.04/x
  3. Step 3: Cross multiply
    208,439.76x = 287,646.40 × 112,949.04
  4. Step 4: Simplify right side
    208,439.76x = 32,489,384,739.46
  5. Step 5: Solve for x
    x = 32,489,384,739.46/208,439.76
  6. Step 6: Final answer
    x = 155,869.42

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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.