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Finding the Fourth Proportional to 133,135.68, 183,682.98 and 87,836.16

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Solution

The fourth proportional to 133,135.68, 183,682.98 and 87,836.16 is: 121,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,135.68 : 183,682.98 = 87,836.16 : x
  2. Step 2: Convert to fraction form
    133,135.68/183,682.98 = 87,836.16/x
  3. Step 3: Cross multiply
    133,135.68x = 183,682.98 × 87,836.16
  4. Step 4: Simplify right side
    133,135.68x = 16,134,007,620.56
  5. Step 5: Solve for x
    x = 16,134,007,620.56/133,135.68
  6. Step 6: Final answer
    x = 121,184.70

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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.