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Finding the Fourth Proportional to 135,649, 187,197.88 and 75,222.20

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Solution

The fourth proportional to 135,649, 187,197.88 and 75,222.20 is: 103,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649 : 187,197.88 = 75,222.20 : x
  2. Step 2: Convert to fraction form
    135,649/187,197.88 = 75,222.20/x
  3. Step 3: Cross multiply
    135,649x = 187,197.88 × 75,222.20
  4. Step 4: Simplify right side
    135,649x = 14,081,436,368.94
  5. Step 5: Solve for x
    x = 14,081,436,368.94/135,649
  6. Step 6: Final answer
    x = 103,807.89

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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.