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Finding the Fourth Proportional to 208,292.49, 287,284.16 and 143,869.54

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Solution

The fourth proportional to 208,292.49, 287,284.16 and 143,869.54 is: 198,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,292.49 : 287,284.16 = 143,869.54 : x
  2. Step 2: Convert to fraction form
    208,292.49/287,284.16 = 143,869.54/x
  3. Step 3: Cross multiply
    208,292.49x = 287,284.16 × 143,869.54
  4. Step 4: Simplify right side
    208,292.49x = 41,331,440,128.61
  5. Step 5: Solve for x
    x = 41,331,440,128.61/208,292.49
  6. Step 6: Final answer
    x = 198,429.81

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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.