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Finding the Fourth Proportional to 139,765.42, 209,645.70 and 34,584.40

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Solution

The fourth proportional to 139,765.42, 209,645.70 and 34,584.40 is: 51,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,765.42 : 209,645.70 = 34,584.40 : x
  2. Step 2: Convert to fraction form
    139,765.42/209,645.70 = 34,584.40/x
  3. Step 3: Cross multiply
    139,765.42x = 209,645.70 × 34,584.40
  4. Step 4: Simplify right side
    139,765.42x = 7,250,470,747.08
  5. Step 5: Solve for x
    x = 7,250,470,747.08/139,765.42
  6. Step 6: Final answer
    x = 51,876.00

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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.