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Finding the Fourth Proportional to 133,713.40, 200,505.30 and 74,486.20

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Solution

The fourth proportional to 133,713.40, 200,505.30 and 74,486.20 is: 111,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713.40 : 200,505.30 = 74,486.20 : x
  2. Step 2: Convert to fraction form
    133,713.40/200,505.30 = 74,486.20/x
  3. Step 3: Cross multiply
    133,713.40x = 200,505.30 × 74,486.20
  4. Step 4: Simplify right side
    133,713.40x = 14,934,877,876.86
  5. Step 5: Solve for x
    x = 14,934,877,876.86/133,713.40
  6. Step 6: Final answer
    x = 111,693.20

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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.