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Finding the Fourth Proportional to 135,646, 187,193.74 and 75,219.20

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Solution

The fourth proportional to 135,646, 187,193.74 and 75,219.20 is: 103,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,646 : 187,193.74 = 75,219.20 : x
  2. Step 2: Convert to fraction form
    135,646/187,193.74 = 75,219.20/x
  3. Step 3: Cross multiply
    135,646x = 187,193.74 × 75,219.20
  4. Step 4: Simplify right side
    135,646x = 14,080,563,367.81
  5. Step 5: Solve for x
    x = 14,080,563,367.81/135,646
  6. Step 6: Final answer
    x = 103,803.75

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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.