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Finding the Fourth Proportional to 208,820.38, 287,954.30 and 123,921.04

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Solution

The fourth proportional to 208,820.38, 287,954.30 and 123,921.04 is: 170,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,820.38 : 287,954.30 = 123,921.04 : x
  2. Step 2: Convert to fraction form
    208,820.38/287,954.30 = 123,921.04/x
  3. Step 3: Cross multiply
    208,820.38x = 287,954.30 × 123,921.04
  4. Step 4: Simplify right side
    208,820.38x = 35,683,596,328.47
  5. Step 5: Solve for x
    x = 35,683,596,328.47/208,820.38
  6. Step 6: Final answer
    x = 170,881.77

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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.