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Finding the Fourth Proportional to 139,120.64, 208,214.40 and 114,159.68

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Solution

The fourth proportional to 139,120.64, 208,214.40 and 114,159.68 is: 170,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,120.64 : 208,214.40 = 114,159.68 : x
  2. Step 2: Convert to fraction form
    139,120.64/208,214.40 = 114,159.68/x
  3. Step 3: Cross multiply
    139,120.64x = 208,214.40 × 114,159.68
  4. Step 4: Simplify right side
    139,120.64x = 23,769,689,275.39
  5. Step 5: Solve for x
    x = 23,769,689,275.39/139,120.64
  6. Step 6: Final answer
    x = 170,856.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.