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Finding the Fourth Proportional to 139,973.85, 209,960.78 and 69,989.85

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Solution

The fourth proportional to 139,973.85, 209,960.78 and 69,989.85 is: 104,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,973.85 : 209,960.78 = 69,989.85 : x
  2. Step 2: Convert to fraction form
    139,973.85/209,960.78 = 69,989.85/x
  3. Step 3: Cross multiply
    139,973.85x = 209,960.78 × 69,989.85
  4. Step 4: Simplify right side
    139,973.85x = 14,695,123,148.13
  5. Step 5: Solve for x
    x = 14,695,123,148.13/139,973.85
  6. Step 6: Final answer
    x = 104,984.78

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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.