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Finding the Fourth Proportional to 149,142.43, 205,817.43 and 81,159.94

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Solution

The fourth proportional to 149,142.43, 205,817.43 and 81,159.94 is: 112,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.43 : 205,817.43 = 81,159.94 : x
  2. Step 2: Convert to fraction form
    149,142.43/205,817.43 = 81,159.94/x
  3. Step 3: Cross multiply
    149,142.43x = 205,817.43 × 81,159.94
  4. Step 4: Simplify right side
    149,142.43x = 16,704,130,269.75
  5. Step 5: Solve for x
    x = 16,704,130,269.75/149,142.43
  6. Step 6: Final answer
    x = 112,001.19

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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.