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Finding the Fourth Proportional to 135,309.85, 186,730.64 and 87,646.16

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Solution

The fourth proportional to 135,309.85, 186,730.64 and 87,646.16 is: 120,953.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.85 : 186,730.64 = 87,646.16 : x
  2. Step 2: Convert to fraction form
    135,309.85/186,730.64 = 87,646.16/x
  3. Step 3: Cross multiply
    135,309.85x = 186,730.64 × 87,646.16
  4. Step 4: Simplify right side
    135,309.85x = 16,366,223,207.37
  5. Step 5: Solve for x
    x = 16,366,223,207.37/135,309.85
  6. Step 6: Final answer
    x = 120,953.67

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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.