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Finding the Fourth Proportional to 135,806.64, 187,415.20 and 75,381.20

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Solution

The fourth proportional to 135,806.64, 187,415.20 and 75,381.20 is: 104,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806.64 : 187,415.20 = 75,381.20 : x
  2. Step 2: Convert to fraction form
    135,806.64/187,415.20 = 75,381.20/x
  3. Step 3: Cross multiply
    135,806.64x = 187,415.20 × 75,381.20
  4. Step 4: Simplify right side
    135,806.64x = 14,127,582,674.24
  5. Step 5: Solve for x
    x = 14,127,582,674.24/135,806.64
  6. Step 6: Final answer
    x = 104,027.19

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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.