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Finding the Fourth Proportional to 147,963.90, 204,142.01 and 90,543.30

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Solution

The fourth proportional to 147,963.90, 204,142.01 and 90,543.30 is: 124,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,963.90 : 204,142.01 = 90,543.30 : x
  2. Step 2: Convert to fraction form
    147,963.90/204,142.01 = 90,543.30/x
  3. Step 3: Cross multiply
    147,963.90x = 204,142.01 × 90,543.30
  4. Step 4: Simplify right side
    147,963.90x = 18,483,690,801.32
  5. Step 5: Solve for x
    x = 18,483,690,801.32/147,963.90
  6. Step 6: Final answer
    x = 124,920.27

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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.