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Finding the Fourth Proportional to 135,809.76, 187,415.98 and 75,380.93

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Solution

The fourth proportional to 135,809.76, 187,415.98 and 75,380.93 is: 104,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.76 : 187,415.98 = 75,380.93 : x
  2. Step 2: Convert to fraction form
    135,809.76/187,415.98 = 75,380.93/x
  3. Step 3: Cross multiply
    135,809.76x = 187,415.98 × 75,380.93
  4. Step 4: Simplify right side
    135,809.76x = 14,127,590,446.54
  5. Step 5: Solve for x
    x = 14,127,590,446.54/135,809.76
  6. Step 6: Final answer
    x = 104,024.85

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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.