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Finding the Fourth Proportional to 135,533.78, 187,039.26 and 78,948.80

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Solution

The fourth proportional to 135,533.78, 187,039.26 and 78,948.80 is: 108,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,533.78 : 187,039.26 = 78,948.80 : x
  2. Step 2: Convert to fraction form
    135,533.78/187,039.26 = 78,948.80/x
  3. Step 3: Cross multiply
    135,533.78x = 187,039.26 × 78,948.80
  4. Step 4: Simplify right side
    135,533.78x = 14,766,525,129.89
  5. Step 5: Solve for x
    x = 14,766,525,129.89/135,533.78
  6. Step 6: Final answer
    x = 108,950.88

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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.