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Finding the Fourth Proportional to 139,830.13, 209,748.84 and 34,647.58

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Solution

The fourth proportional to 139,830.13, 209,748.84 and 34,647.58 is: 51,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,830.13 : 209,748.84 = 34,647.58 : x
  2. Step 2: Convert to fraction form
    139,830.13/209,748.84 = 34,647.58/x
  3. Step 3: Cross multiply
    139,830.13x = 209,748.84 × 34,647.58
  4. Step 4: Simplify right side
    139,830.13x = 7,267,289,713.81
  5. Step 5: Solve for x
    x = 7,267,289,713.81/139,830.13
  6. Step 6: Final answer
    x = 51,972.27

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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.