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Finding the Fourth Proportional to 139,431.60, 209,584.80 and 136,807.20

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Solution

The fourth proportional to 139,431.60, 209,584.80 and 136,807.20 is: 205,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,431.60 : 209,584.80 = 136,807.20 : x
  2. Step 2: Convert to fraction form
    139,431.60/209,584.80 = 136,807.20/x
  3. Step 3: Cross multiply
    139,431.60x = 209,584.80 × 136,807.20
  4. Step 4: Simplify right side
    139,431.60x = 28,672,709,650.56
  5. Step 5: Solve for x
    x = 28,672,709,650.56/139,431.60
  6. Step 6: Final answer
    x = 205,639.97

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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.