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Finding the Fourth Proportional to 135,677.50, 187,237.29 and 75,250.78

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Solution

The fourth proportional to 135,677.50, 187,237.29 and 75,250.78 is: 103,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,677.50 : 187,237.29 = 75,250.78 : x
  2. Step 2: Convert to fraction form
    135,677.50/187,237.29 = 75,250.78/x
  3. Step 3: Cross multiply
    135,677.50x = 187,237.29 × 75,250.78
  4. Step 4: Simplify right side
    135,677.50x = 14,089,752,117.59
  5. Step 5: Solve for x
    x = 14,089,752,117.59/135,677.50
  6. Step 6: Final answer
    x = 103,847.37

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1.5x scale

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.