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Finding the Fourth Proportional to 139,961.48, 209,941.44 and 34,780.40

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Solution

The fourth proportional to 139,961.48, 209,941.44 and 34,780.40 is: 52,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,961.48 : 209,941.44 = 34,780.40 : x
  2. Step 2: Convert to fraction form
    139,961.48/209,941.44 = 34,780.40/x
  3. Step 3: Cross multiply
    139,961.48x = 209,941.44 × 34,780.40
  4. Step 4: Simplify right side
    139,961.48x = 7,301,847,259.78
  5. Step 5: Solve for x
    x = 7,301,847,259.78/139,961.48
  6. Step 6: Final answer
    x = 52,170.41

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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.