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Finding the Fourth Proportional to 135,919.50, 187,568.91 and 76,303.50

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Solution

The fourth proportional to 135,919.50, 187,568.91 and 76,303.50 is: 105,298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,919.50 : 187,568.91 = 76,303.50 : x
  2. Step 2: Convert to fraction form
    135,919.50/187,568.91 = 76,303.50/x
  3. Step 3: Cross multiply
    135,919.50x = 187,568.91 × 76,303.50
  4. Step 4: Simplify right side
    135,919.50x = 14,312,164,324.19
  5. Step 5: Solve for x
    x = 14,312,164,324.19/135,919.50
  6. Step 6: Final answer
    x = 105,298.83

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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.