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Finding the Fourth Proportional to 135,811.32, 187,410.81 and 75,381.98

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Solution

The fourth proportional to 135,811.32, 187,410.81 and 75,381.98 is: 104,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,811.32 : 187,410.81 = 75,381.98 : x
  2. Step 2: Convert to fraction form
    135,811.32/187,410.81 = 75,381.98/x
  3. Step 3: Cross multiply
    135,811.32x = 187,410.81 × 75,381.98
  4. Step 4: Simplify right side
    135,811.32x = 14,127,397,276.83
  5. Step 5: Solve for x
    x = 14,127,397,276.83/135,811.32
  6. Step 6: Final answer
    x = 104,022.24

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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.