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Finding the Fourth Proportional to 139,707.70, 209,559.49 and 34,526.66

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Solution

The fourth proportional to 139,707.70, 209,559.49 and 34,526.66 is: 51,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,707.70 : 209,559.49 = 34,526.66 : x
  2. Step 2: Convert to fraction form
    139,707.70/209,559.49 = 34,526.66/x
  3. Step 3: Cross multiply
    139,707.70x = 209,559.49 × 34,526.66
  4. Step 4: Simplify right side
    139,707.70x = 7,235,389,261.00
  5. Step 5: Solve for x
    x = 7,235,389,261.00/139,707.70
  6. Step 6: Final answer
    x = 51,789.48

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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.