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Finding the Fourth Proportional to 135,818.67, 187,409.79 and 75,389.78

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Solution

The fourth proportional to 135,818.67, 187,409.79 and 75,389.78 is: 104,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,818.67 : 187,409.79 = 75,389.78 : x
  2. Step 2: Convert to fraction form
    135,818.67/187,409.79 = 75,389.78/x
  3. Step 3: Cross multiply
    135,818.67x = 187,409.79 × 75,389.78
  4. Step 4: Simplify right side
    135,818.67x = 14,128,781,900.90
  5. Step 5: Solve for x
    x = 14,128,781,900.90/135,818.67
  6. Step 6: Final answer
    x = 104,026.80

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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.