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Finding the Fourth Proportional to 135,649.76, 187,206 and 75,225.92

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Solution

The fourth proportional to 135,649.76, 187,206 and 75,225.92 is: 103,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,649.76 : 187,206 = 75,225.92 : x
  2. Step 2: Convert to fraction form
    135,649.76/187,206 = 75,225.92/x
  3. Step 3: Cross multiply
    135,649.76x = 187,206 × 75,225.92
  4. Step 4: Simplify right side
    135,649.76x = 14,082,743,579.52
  5. Step 5: Solve for x
    x = 14,082,743,579.52/135,649.76
  6. Step 6: Final answer
    x = 103,816.94

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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.