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Finding the Fourth Proportional to 139,403.84, 209,109.87 and 34,222.81

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Solution

The fourth proportional to 139,403.84, 209,109.87 and 34,222.81 is: 51,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,403.84 : 209,109.87 = 34,222.81 : x
  2. Step 2: Convert to fraction form
    139,403.84/209,109.87 = 34,222.81/x
  3. Step 3: Cross multiply
    139,403.84x = 209,109.87 × 34,222.81
  4. Step 4: Simplify right side
    139,403.84x = 7,156,327,350.13
  5. Step 5: Solve for x
    x = 7,156,327,350.13/139,403.84
  6. Step 6: Final answer
    x = 51,335.22

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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.