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Finding the Fourth Proportional to 208,681.96, 287,885.46 and 123,768.04

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Solution

The fourth proportional to 208,681.96, 287,885.46 and 123,768.04 is: 170,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,681.96 : 287,885.46 = 123,768.04 : x
  2. Step 2: Convert to fraction form
    208,681.96/287,885.46 = 123,768.04/x
  3. Step 3: Cross multiply
    208,681.96x = 287,885.46 × 123,768.04
  4. Step 4: Simplify right side
    208,681.96x = 35,631,019,128.70
  5. Step 5: Solve for x
    x = 35,631,019,128.70/208,681.96
  6. Step 6: Final answer
    x = 170,743.17

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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.