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Finding the Fourth Proportional to 135,656.78, 187,197.26 and 75,225.20

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Solution

The fourth proportional to 135,656.78, 187,197.26 and 75,225.20 is: 103,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,656.78 : 187,197.26 = 75,225.20 : x
  2. Step 2: Convert to fraction form
    135,656.78/187,197.26 = 75,225.20/x
  3. Step 3: Cross multiply
    135,656.78x = 187,197.26 × 75,225.20
  4. Step 4: Simplify right side
    135,656.78x = 14,081,950,010.84
  5. Step 5: Solve for x
    x = 14,081,950,010.84/135,656.78
  6. Step 6: Final answer
    x = 103,805.73

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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.