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Finding the Fourth Proportional to 135,243.69, 202,733.70 and 56,380.47

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Solution

The fourth proportional to 135,243.69, 202,733.70 and 56,380.47 is: 84,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243.69 : 202,733.70 = 56,380.47 : x
  2. Step 2: Convert to fraction form
    135,243.69/202,733.70 = 56,380.47/x
  3. Step 3: Cross multiply
    135,243.69x = 202,733.70 × 56,380.47
  4. Step 4: Simplify right side
    135,243.69x = 11,430,220,784.00
  5. Step 5: Solve for x
    x = 11,430,220,784.00/135,243.69
  6. Step 6: Final answer
    x = 84,515.74

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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.