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Finding the Fourth Proportional to 208,209.54, 287,329.81 and 112,716.01

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Solution

The fourth proportional to 208,209.54, 287,329.81 and 112,716.01 is: 155,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,209.54 : 287,329.81 = 112,716.01 : x
  2. Step 2: Convert to fraction form
    208,209.54/287,329.81 = 112,716.01/x
  3. Step 3: Cross multiply
    208,209.54x = 287,329.81 × 112,716.01
  4. Step 4: Simplify right side
    208,209.54x = 32,386,669,371.17
  5. Step 5: Solve for x
    x = 32,386,669,371.17/208,209.54
  6. Step 6: Final answer
    x = 155,548.44

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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.