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Finding the Fourth Proportional to 134,008.68, 201,042.18 and 40,512

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Solution

The fourth proportional to 134,008.68, 201,042.18 and 40,512 is: 60,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,008.68 : 201,042.18 = 40,512 : x
  2. Step 2: Convert to fraction form
    134,008.68/201,042.18 = 40,512/x
  3. Step 3: Cross multiply
    134,008.68x = 201,042.18 × 40,512
  4. Step 4: Simplify right side
    134,008.68x = 8,144,620,796.16
  5. Step 5: Solve for x
    x = 8,144,620,796.16/134,008.68
  6. Step 6: Final answer
    x = 60,776.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.