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Finding the Fourth Proportional to 135,697.42, 187,263.12 and 75,263.86

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Solution

The fourth proportional to 135,697.42, 187,263.12 and 75,263.86 is: 103,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,697.42 : 187,263.12 = 75,263.86 : x
  2. Step 2: Convert to fraction form
    135,697.42/187,263.12 = 75,263.86/x
  3. Step 3: Cross multiply
    135,697.42x = 187,263.12 × 75,263.86
  4. Step 4: Simplify right side
    135,697.42x = 14,094,145,246.84
  5. Step 5: Solve for x
    x = 14,094,145,246.84/135,697.42
  6. Step 6: Final answer
    x = 103,864.50

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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.