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Finding the Fourth Proportional to 135,689.67, 187,244.10 and 75,255.98

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Solution

The fourth proportional to 135,689.67, 187,244.10 and 75,255.98 is: 103,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,689.67 : 187,244.10 = 75,255.98 : x
  2. Step 2: Convert to fraction form
    135,689.67/187,244.10 = 75,255.98/x
  3. Step 3: Cross multiply
    135,689.67x = 187,244.10 × 75,255.98
  4. Step 4: Simplify right side
    135,689.67x = 14,091,237,308.50
  5. Step 5: Solve for x
    x = 14,091,237,308.50/135,689.67
  6. Step 6: Final answer
    x = 103,849.01

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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.